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Finding the Third Proportional to 453,043,893 and 698,957,760

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Solution

The third proportional to 453,043,893 and 698,957,760 is: 1,078,354,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,043,893 : 698,957,760 = 698,957,760 : x
  2. Step 2: Convert to fraction form
    453,043,893/698,957,760 = 698,957,760/x
  3. Step 3: Cross multiply
    453,043,893x = 698,957,760 × 698,957,760
  4. Step 4: Simplify right side
    453,043,893x = 488,541,950,264,217,600
  5. Step 5: Solve for x
    x = 488,541,950,264,217,600/453,043,893
  6. Step 6: Final answer
    x = 1,078,354,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.