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Finding the Third Proportional to 1,127,451,042 and 1,724,873,859

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Solution

The third proportional to 1,127,451,042 and 1,724,873,859 is: 2,638,863,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,451,042 : 1,724,873,859 = 1,724,873,859 : x
  2. Step 2: Convert to fraction form
    1,127,451,042/1,724,873,859 = 1,724,873,859/x
  3. Step 3: Cross multiply
    1,127,451,042x = 1,724,873,859 × 1,724,873,859
  4. Step 4: Simplify right side
    1,127,451,042x = 2,975,189,829,461,552,128
  5. Step 5: Solve for x
    x = 2,975,189,829,461,552,128/1,127,451,042
  6. Step 6: Final answer
    x = 2,638,863,878.46

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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.