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Finding the Third Proportional to 292,191,448 and 642,820,484

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Solution

The third proportional to 292,191,448 and 642,820,484 is: 1,414,203,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,191,448 : 642,820,484 = 642,820,484 : x
  2. Step 2: Convert to fraction form
    292,191,448/642,820,484 = 642,820,484/x
  3. Step 3: Cross multiply
    292,191,448x = 642,820,484 × 642,820,484
  4. Step 4: Simplify right side
    292,191,448x = 413,218,174,649,994,240
  5. Step 5: Solve for x
    x = 413,218,174,649,994,240/292,191,448
  6. Step 6: Final answer
    x = 1,414,203,521.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.