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Finding the Third Proportional to 712,396 and 1,049,757

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Solution

The third proportional to 712,396 and 1,049,757 is: 1,546,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,396 : 1,049,757 = 1,049,757 : x
  2. Step 2: Convert to fraction form
    712,396/1,049,757 = 1,049,757/x
  3. Step 3: Cross multiply
    712,396x = 1,049,757 × 1,049,757
  4. Step 4: Simplify right side
    712,396x = 1,101,989,759,049
  5. Step 5: Solve for x
    x = 1,101,989,759,049/712,396
  6. Step 6: Final answer
    x = 1,546,878.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.