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Finding the Third Proportional to 648,786,234 and 1,343,560,706

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Solution

The third proportional to 648,786,234 and 1,343,560,706 is: 2,782,357,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,786,234 : 1,343,560,706 = 1,343,560,706 : x
  2. Step 2: Convert to fraction form
    648,786,234/1,343,560,706 = 1,343,560,706/x
  3. Step 3: Cross multiply
    648,786,234x = 1,343,560,706 × 1,343,560,706
  4. Step 4: Simplify right side
    648,786,234x = 1,805,155,370,707,218,432
  5. Step 5: Solve for x
    x = 1,805,155,370,707,218,432/648,786,234
  6. Step 6: Final answer
    x = 2,782,357,695.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.