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Finding the Third Proportional to 1,029,664 and 1,557,798

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Solution

The third proportional to 1,029,664 and 1,557,798 is: 2,356,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,664 : 1,557,798 = 1,557,798 : x
  2. Step 2: Convert to fraction form
    1,029,664/1,557,798 = 1,557,798/x
  3. Step 3: Cross multiply
    1,029,664x = 1,557,798 × 1,557,798
  4. Step 4: Simplify right side
    1,029,664x = 2,426,734,608,804
  5. Step 5: Solve for x
    x = 2,426,734,608,804/1,029,664
  6. Step 6: Final answer
    x = 2,356,821.85

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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.