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Finding the Third Proportional to 487,933,873 and 743,341,280

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Solution

The third proportional to 487,933,873 and 743,341,280 is: 1,132,440,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,933,873 : 743,341,280 = 743,341,280 : x
  2. Step 2: Convert to fraction form
    487,933,873/743,341,280 = 743,341,280/x
  3. Step 3: Cross multiply
    487,933,873x = 743,341,280 × 743,341,280
  4. Step 4: Simplify right side
    487,933,873x = 552,556,258,552,038,400
  5. Step 5: Solve for x
    x = 552,556,258,552,038,400/487,933,873
  6. Step 6: Final answer
    x = 1,132,440,867.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.