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Finding the Third Proportional to 765,774 and 1,688,040

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Solution

The third proportional to 765,774 and 1,688,040 is: 3,721,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,774 : 1,688,040 = 1,688,040 : x
  2. Step 2: Convert to fraction form
    765,774/1,688,040 = 1,688,040/x
  3. Step 3: Cross multiply
    765,774x = 1,688,040 × 1,688,040
  4. Step 4: Simplify right side
    765,774x = 2,849,479,041,600
  5. Step 5: Solve for x
    x = 2,849,479,041,600/765,774
  6. Step 6: Final answer
    x = 3,721,044.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.