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Finding the Third Proportional to 410,904,414 and 879,989,346

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Solution

The third proportional to 410,904,414 and 879,989,346 is: 1,884,577,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,904,414 : 879,989,346 = 879,989,346 : x
  2. Step 2: Convert to fraction form
    410,904,414/879,989,346 = 879,989,346/x
  3. Step 3: Cross multiply
    410,904,414x = 879,989,346 × 879,989,346
  4. Step 4: Simplify right side
    410,904,414x = 774,381,249,073,507,712
  5. Step 5: Solve for x
    x = 774,381,249,073,507,712/410,904,414
  6. Step 6: Final answer
    x = 1,884,577,587.12

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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.