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Finding the Third Proportional to 549,224,384 and 828,944,060

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Solution

The third proportional to 549,224,384 and 828,944,060 is: 1,251,124,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,384 : 828,944,060 = 828,944,060 : x
  2. Step 2: Convert to fraction form
    549,224,384/828,944,060 = 828,944,060/x
  3. Step 3: Cross multiply
    549,224,384x = 828,944,060 × 828,944,060
  4. Step 4: Simplify right side
    549,224,384x = 687,148,254,609,283,584
  5. Step 5: Solve for x
    x = 687,148,254,609,283,584/549,224,384
  6. Step 6: Final answer
    x = 1,251,124,812.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.