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Finding the Third Proportional to 544,283,548 and 840,491,070

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Solution

The third proportional to 544,283,548 and 840,491,070 is: 1,297,899,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,283,548 : 840,491,070 = 840,491,070 : x
  2. Step 2: Convert to fraction form
    544,283,548/840,491,070 = 840,491,070/x
  3. Step 3: Cross multiply
    544,283,548x = 840,491,070 × 840,491,070
  4. Step 4: Simplify right side
    544,283,548x = 706,425,238,749,744,896
  5. Step 5: Solve for x
    x = 706,425,238,749,744,896/544,283,548
  6. Step 6: Final answer
    x = 1,297,899,305.14

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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.