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Finding the Third Proportional to 591,882 and 961,614

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Solution

The third proportional to 591,882 and 961,614 is: 1,562,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,882 : 961,614 = 961,614 : x
  2. Step 2: Convert to fraction form
    591,882/961,614 = 961,614/x
  3. Step 3: Cross multiply
    591,882x = 961,614 × 961,614
  4. Step 4: Simplify right side
    591,882x = 924,701,484,996
  5. Step 5: Solve for x
    x = 924,701,484,996/591,882
  6. Step 6: Final answer
    x = 1,562,307.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.