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Finding the Third Proportional to 1,029,650 and 1,557,776

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Solution

The third proportional to 1,029,650 and 1,557,776 is: 2,356,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,650 : 1,557,776 = 1,557,776 : x
  2. Step 2: Convert to fraction form
    1,029,650/1,557,776 = 1,557,776/x
  3. Step 3: Cross multiply
    1,029,650x = 1,557,776 × 1,557,776
  4. Step 4: Simplify right side
    1,029,650x = 2,426,666,066,176
  5. Step 5: Solve for x
    x = 2,426,666,066,176/1,029,650
  6. Step 6: Final answer
    x = 2,356,787.32

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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.