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Finding the Third Proportional to 685,506,118 and 1,044,321,154

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Solution

The third proportional to 685,506,118 and 1,044,321,154 is: 1,590,951,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,506,118 : 1,044,321,154 = 1,044,321,154 : x
  2. Step 2: Convert to fraction form
    685,506,118/1,044,321,154 = 1,044,321,154/x
  3. Step 3: Cross multiply
    685,506,118x = 1,044,321,154 × 1,044,321,154
  4. Step 4: Simplify right side
    685,506,118x = 1,090,606,672,691,891,712
  5. Step 5: Solve for x
    x = 1,090,606,672,691,891,712/685,506,118
  6. Step 6: Final answer
    x = 1,590,951,041.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.