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Finding the Third Proportional to 414,315,739 and 897,592,046

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Solution

The third proportional to 414,315,739 and 897,592,046 is: 1,944,583,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315,739 : 897,592,046 = 897,592,046 : x
  2. Step 2: Convert to fraction form
    414,315,739/897,592,046 = 897,592,046/x
  3. Step 3: Cross multiply
    414,315,739x = 897,592,046 × 897,592,046
  4. Step 4: Simplify right side
    414,315,739x = 805,671,481,042,466,176
  5. Step 5: Solve for x
    x = 805,671,481,042,466,176/414,315,739
  6. Step 6: Final answer
    x = 1,944,583,333.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.