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Finding the Third Proportional to 797,732,140 and 1,225,414,170

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Solution

The third proportional to 797,732,140 and 1,225,414,170 is: 1,882,386,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,732,140 : 1,225,414,170 = 1,225,414,170 : x
  2. Step 2: Convert to fraction form
    797,732,140/1,225,414,170 = 1,225,414,170/x
  3. Step 3: Cross multiply
    797,732,140x = 1,225,414,170 × 1,225,414,170
  4. Step 4: Simplify right side
    797,732,140x = 1,501,639,888,036,788,992
  5. Step 5: Solve for x
    x = 1,501,639,888,036,788,992/797,732,140
  6. Step 6: Final answer
    x = 1,882,386,095.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.