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Finding the Third Proportional to 1,461,930 and 2,332,863

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Solution

The third proportional to 1,461,930 and 2,332,863 is: 3,722,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,930 : 2,332,863 = 2,332,863 : x
  2. Step 2: Convert to fraction form
    1,461,930/2,332,863 = 2,332,863/x
  3. Step 3: Cross multiply
    1,461,930x = 2,332,863 × 2,332,863
  4. Step 4: Simplify right side
    1,461,930x = 5,442,249,776,769
  5. Step 5: Solve for x
    x = 5,442,249,776,769/1,461,930
  6. Step 6: Final answer
    x = 3,722,647.31

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.