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Finding the Third Proportional to 651,948.75 and 1,037,377.13

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Solution

The third proportional to 651,948.75 and 1,037,377.13 is: 1,650,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,948.75 : 1,037,377.13 = 1,037,377.13 : x
  2. Step 2: Convert to fraction form
    651,948.75/1,037,377.13 = 1,037,377.13/x
  3. Step 3: Cross multiply
    651,948.75x = 1,037,377.13 × 1,037,377.13
  4. Step 4: Simplify right side
    651,948.75x = 1,076,151,299,473.27
  5. Step 5: Solve for x
    x = 1,076,151,299,473.27/651,948.75
  6. Step 6: Final answer
    x = 1,650,668.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.