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Finding the Third Proportional to 655,931,600 and 1,005,820,784

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Solution

The third proportional to 655,931,600 and 1,005,820,784 is: 1,542,349,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,931,600 : 1,005,820,784 = 1,005,820,784 : x
  2. Step 2: Convert to fraction form
    655,931,600/1,005,820,784 = 1,005,820,784/x
  3. Step 3: Cross multiply
    655,931,600x = 1,005,820,784 × 1,005,820,784
  4. Step 4: Simplify right side
    655,931,600x = 1,011,675,449,526,374,656
  5. Step 5: Solve for x
    x = 1,011,675,449,526,374,656/655,931,600
  6. Step 6: Final answer
    x = 1,542,349,003.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.