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Finding the Third Proportional to 601,869,984 and 847,565,566

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Solution

The third proportional to 601,869,984 and 847,565,566 is: 1,193,559,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,869,984 : 847,565,566 = 847,565,566 : x
  2. Step 2: Convert to fraction form
    601,869,984/847,565,566 = 847,565,566/x
  3. Step 3: Cross multiply
    601,869,984x = 847,565,566 × 847,565,566
  4. Step 4: Simplify right side
    601,869,984x = 718,367,388,668,900,352
  5. Step 5: Solve for x
    x = 718,367,388,668,900,352/601,869,984
  6. Step 6: Final answer
    x = 1,193,559,087.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.