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Finding the Third Proportional to 1,516,897 and 3,258,913

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Solution

The third proportional to 1,516,897 and 3,258,913 is: 7,001,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,897 : 3,258,913 = 3,258,913 : x
  2. Step 2: Convert to fraction form
    1,516,897/3,258,913 = 3,258,913/x
  3. Step 3: Cross multiply
    1,516,897x = 3,258,913 × 3,258,913
  4. Step 4: Simplify right side
    1,516,897x = 10,620,513,941,569
  5. Step 5: Solve for x
    x = 10,620,513,941,569/1,516,897
  6. Step 6: Final answer
    x = 7,001,473.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.