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Finding the Third Proportional to 1,248,103.69 and 2,657,058.19

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Solution

The third proportional to 1,248,103.69 and 2,657,058.19 is: 5,656,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,103.69 : 2,657,058.19 = 2,657,058.19 : x
  2. Step 2: Convert to fraction form
    1,248,103.69/2,657,058.19 = 2,657,058.19/x
  3. Step 3: Cross multiply
    1,248,103.69x = 2,657,058.19 × 2,657,058.19
  4. Step 4: Simplify right side
    1,248,103.69x = 7,059,958,211,760.79
  5. Step 5: Solve for x
    x = 7,059,958,211,760.79/1,248,103.69
  6. Step 6: Final answer
    x = 5,656,547.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.