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Finding the Third Proportional to 1,464,307 and 3,153,641

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Solution

The third proportional to 1,464,307 and 3,153,641 is: 6,791,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,307 : 3,153,641 = 3,153,641 : x
  2. Step 2: Convert to fraction form
    1,464,307/3,153,641 = 3,153,641/x
  3. Step 3: Cross multiply
    1,464,307x = 3,153,641 × 3,153,641
  4. Step 4: Simplify right side
    1,464,307x = 9,945,451,556,881
  5. Step 5: Solve for x
    x = 9,945,451,556,881/1,464,307
  6. Step 6: Final answer
    x = 6,791,916.97

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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.