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Finding the Third Proportional to 585,413,416 and 1,156,021,324

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Solution

The third proportional to 585,413,416 and 1,156,021,324 is: 2,282,806,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,413,416 : 1,156,021,324 = 1,156,021,324 : x
  2. Step 2: Convert to fraction form
    585,413,416/1,156,021,324 = 1,156,021,324/x
  3. Step 3: Cross multiply
    585,413,416x = 1,156,021,324 × 1,156,021,324
  4. Step 4: Simplify right side
    585,413,416x = 1,336,385,301,542,713,088
  5. Step 5: Solve for x
    x = 1,336,385,301,542,713,088/585,413,416
  6. Step 6: Final answer
    x = 2,282,806,073.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.