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Finding the Third Proportional to 616,572 and 967,453.88

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Solution

The third proportional to 616,572 and 967,453.88 is: 1,518,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,572 : 967,453.88 = 967,453.88 : x
  2. Step 2: Convert to fraction form
    616,572/967,453.88 = 967,453.88/x
  3. Step 3: Cross multiply
    616,572x = 967,453.88 × 967,453.88
  4. Step 4: Simplify right side
    616,572x = 935,967,000,252.52
  5. Step 5: Solve for x
    x = 935,967,000,252.52/616,572
  6. Step 6: Final answer
    x = 1,518,017.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.