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Finding the Third Proportional to 1,042,256.25 and 1,557,248.63

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Solution

The third proportional to 1,042,256.25 and 1,557,248.63 is: 2,326,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,256.25 : 1,557,248.63 = 1,557,248.63 : x
  2. Step 2: Convert to fraction form
    1,042,256.25/1,557,248.63 = 1,557,248.63/x
  3. Step 3: Cross multiply
    1,042,256.25x = 1,557,248.63 × 1,557,248.63
  4. Step 4: Simplify right side
    1,042,256.25x = 2,425,023,280,064.39
  5. Step 5: Solve for x
    x = 2,425,023,280,064.39/1,042,256.25
  6. Step 6: Final answer
    x = 2,326,705.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.