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Finding the Third Proportional to 1,031,254,220 and 1,635,633,210

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Solution

The third proportional to 1,031,254,220 and 1,635,633,210 is: 2,594,215,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,254,220 : 1,635,633,210 = 1,635,633,210 : x
  2. Step 2: Convert to fraction form
    1,031,254,220/1,635,633,210 = 1,635,633,210/x
  3. Step 3: Cross multiply
    1,031,254,220x = 1,635,633,210 × 1,635,633,210
  4. Step 4: Simplify right side
    1,031,254,220x = 2,675,295,997,654,904,320
  5. Step 5: Solve for x
    x = 2,675,295,997,654,904,320/1,031,254,220
  6. Step 6: Final answer
    x = 2,594,215,806.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.