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Finding the Third Proportional to 732,298,784 and 1,105,258,296

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Solution

The third proportional to 732,298,784 and 1,105,258,296 is: 1,668,165,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,298,784 : 1,105,258,296 = 1,105,258,296 : x
  2. Step 2: Convert to fraction form
    732,298,784/1,105,258,296 = 1,105,258,296/x
  3. Step 3: Cross multiply
    732,298,784x = 1,105,258,296 × 1,105,258,296
  4. Step 4: Simplify right side
    732,298,784x = 1,221,595,900,876,823,552
  5. Step 5: Solve for x
    x = 1,221,595,900,876,823,552/732,298,784
  6. Step 6: Final answer
    x = 1,668,165,955.71

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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.