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Finding the Third Proportional to 1,029,658 and 1,557,788

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Solution

The third proportional to 1,029,658 and 1,557,788 is: 2,356,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,658 : 1,557,788 = 1,557,788 : x
  2. Step 2: Convert to fraction form
    1,029,658/1,557,788 = 1,557,788/x
  3. Step 3: Cross multiply
    1,029,658x = 1,557,788 × 1,557,788
  4. Step 4: Simplify right side
    1,029,658x = 2,426,703,452,944
  5. Step 5: Solve for x
    x = 2,426,703,452,944/1,029,658
  6. Step 6: Final answer
    x = 2,356,805.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.