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Finding the Third Proportional to 712,959 and 1,087,396

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Solution

The third proportional to 712,959 and 1,087,396 is: 1,658,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,959 : 1,087,396 = 1,087,396 : x
  2. Step 2: Convert to fraction form
    712,959/1,087,396 = 1,087,396/x
  3. Step 3: Cross multiply
    712,959x = 1,087,396 × 1,087,396
  4. Step 4: Simplify right side
    712,959x = 1,182,430,060,816
  5. Step 5: Solve for x
    x = 1,182,430,060,816/712,959
  6. Step 6: Final answer
    x = 1,658,482.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.