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Finding the Third Proportional to 792,577.13 and 1,766,683.13

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Solution

The third proportional to 792,577.13 and 1,766,683.13 is: 3,938,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,577.13 : 1,766,683.13 = 1,766,683.13 : x
  2. Step 2: Convert to fraction form
    792,577.13/1,766,683.13 = 1,766,683.13/x
  3. Step 3: Cross multiply
    792,577.13x = 1,766,683.13 × 1,766,683.13
  4. Step 4: Simplify right side
    792,577.13x = 3,121,169,264,159.77
  5. Step 5: Solve for x
    x = 3,121,169,264,159.77/792,577.13
  6. Step 6: Final answer
    x = 3,938,000.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.