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Finding the Third Proportional to 702,768 and 1,532,748

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Solution

The third proportional to 702,768 and 1,532,748 is: 3,342,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,768 : 1,532,748 = 1,532,748 : x
  2. Step 2: Convert to fraction form
    702,768/1,532,748 = 1,532,748/x
  3. Step 3: Cross multiply
    702,768x = 1,532,748 × 1,532,748
  4. Step 4: Simplify right side
    702,768x = 2,349,316,431,504
  5. Step 5: Solve for x
    x = 2,349,316,431,504/702,768
  6. Step 6: Final answer
    x = 3,342,947.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.