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Finding the Third Proportional to 410,904,442.88 and 879,989,403.75

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Solution

The third proportional to 410,904,442.88 and 879,989,403.75 is: 1,884,577,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,904,442.88 : 879,989,403.75 = 879,989,403.75 : x
  2. Step 2: Convert to fraction form
    410,904,442.88/879,989,403.75 = 879,989,403.75/x
  3. Step 3: Cross multiply
    410,904,442.88x = 879,989,403.75 × 879,989,403.75
  4. Step 4: Simplify right side
    410,904,442.88x = 774,381,350,712,280,576
  5. Step 5: Solve for x
    x = 774,381,350,712,280,576/410,904,442.88
  6. Step 6: Final answer
    x = 1,884,577,702.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.