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Finding the Third Proportional to 549,224,336 and 828,943,987

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Solution

The third proportional to 549,224,336 and 828,943,987 is: 1,251,124,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,336 : 828,943,987 = 828,943,987 : x
  2. Step 2: Convert to fraction form
    549,224,336/828,943,987 = 828,943,987/x
  3. Step 3: Cross multiply
    549,224,336x = 828,943,987 × 828,943,987
  4. Step 4: Simplify right side
    549,224,336x = 687,148,133,583,456,128
  5. Step 5: Solve for x
    x = 687,148,133,583,456,128/549,224,336
  6. Step 6: Final answer
    x = 1,251,124,701.77

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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.