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Finding the Third Proportional to 560,132,371.13 and 822,038,193

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Solution

The third proportional to 560,132,371.13 and 822,038,193 is: 1,206,405,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,132,371.13 : 822,038,193 = 822,038,193 : x
  2. Step 2: Convert to fraction form
    560,132,371.13/822,038,193 = 822,038,193/x
  3. Step 3: Cross multiply
    560,132,371.13x = 822,038,193 × 822,038,193
  4. Step 4: Simplify right side
    560,132,371.13x = 675,746,790,750,705,280
  5. Step 5: Solve for x
    x = 675,746,790,750,705,280/560,132,371.13
  6. Step 6: Final answer
    x = 1,206,405,531.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.