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Finding the Third Proportional to 711,630 and 1,569,059

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Solution

The third proportional to 711,630 and 1,569,059 is: 3,459,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,630 : 1,569,059 = 1,569,059 : x
  2. Step 2: Convert to fraction form
    711,630/1,569,059 = 1,569,059/x
  3. Step 3: Cross multiply
    711,630x = 1,569,059 × 1,569,059
  4. Step 4: Simplify right side
    711,630x = 2,461,946,145,481
  5. Step 5: Solve for x
    x = 2,461,946,145,481/711,630
  6. Step 6: Final answer
    x = 3,459,587.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.