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Finding the Third Proportional to 732,298,780 and 1,105,258,289

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Solution

The third proportional to 732,298,780 and 1,105,258,289 is: 1,668,165,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,298,780 : 1,105,258,289 = 1,105,258,289 : x
  2. Step 2: Convert to fraction form
    732,298,780/1,105,258,289 = 1,105,258,289/x
  3. Step 3: Cross multiply
    732,298,780x = 1,105,258,289 × 1,105,258,289
  4. Step 4: Simplify right side
    732,298,780x = 1,221,595,885,403,207,424
  5. Step 5: Solve for x
    x = 1,221,595,885,403,207,424/732,298,780
  6. Step 6: Final answer
    x = 1,668,165,943.69

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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.