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Finding the Third Proportional to 586,179,672 and 906,815,988

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Solution

The third proportional to 586,179,672 and 906,815,988 is: 1,402,838,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,179,672 : 906,815,988 = 906,815,988 : x
  2. Step 2: Convert to fraction form
    586,179,672/906,815,988 = 906,815,988/x
  3. Step 3: Cross multiply
    586,179,672x = 906,815,988 × 906,815,988
  4. Step 4: Simplify right side
    586,179,672x = 822,315,236,092,416,128
  5. Step 5: Solve for x
    x = 822,315,236,092,416,128/586,179,672
  6. Step 6: Final answer
    x = 1,402,838,200.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.