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Finding the Third Proportional to 1,098,465 and 2,315,026.50

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Solution

The third proportional to 1,098,465 and 2,315,026.50 is: 4,878,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,465 : 2,315,026.50 = 2,315,026.50 : x
  2. Step 2: Convert to fraction form
    1,098,465/2,315,026.50 = 2,315,026.50/x
  3. Step 3: Cross multiply
    1,098,465x = 2,315,026.50 × 2,315,026.50
  4. Step 4: Simplify right side
    1,098,465x = 5,359,347,695,702.25
  5. Step 5: Solve for x
    x = 5,359,347,695,702.25/1,098,465
  6. Step 6: Final answer
    x = 4,878,942.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.