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Finding the Third Proportional to 1,600,479 and 2,845,702.13

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Solution

The third proportional to 1,600,479 and 2,845,702.13 is: 5,059,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,479 : 2,845,702.13 = 2,845,702.13 : x
  2. Step 2: Convert to fraction form
    1,600,479/2,845,702.13 = 2,845,702.13/x
  3. Step 3: Cross multiply
    1,600,479x = 2,845,702.13 × 2,845,702.13
  4. Step 4: Simplify right side
    1,600,479x = 8,098,020,584,229.52
  5. Step 5: Solve for x
    x = 8,098,020,584,229.52/1,600,479
  6. Step 6: Final answer
    x = 5,059,748.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.