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Finding the Third Proportional to 671,491.13 and 1,041,276.94

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Solution

The third proportional to 671,491.13 and 1,041,276.94 is: 1,614,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,491.13 : 1,041,276.94 = 1,041,276.94 : x
  2. Step 2: Convert to fraction form
    671,491.13/1,041,276.94 = 1,041,276.94/x
  3. Step 3: Cross multiply
    671,491.13x = 1,041,276.94 × 1,041,276.94
  4. Step 4: Simplify right side
    671,491.13x = 1,084,257,660,569.38
  5. Step 5: Solve for x
    x = 1,084,257,660,569.38/671,491.13
  6. Step 6: Final answer
    x = 1,614,701.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.