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Finding the Third Proportional to 1,023,044 and 1,604,928

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Solution

The third proportional to 1,023,044 and 1,604,928 is: 2,517,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,044 : 1,604,928 = 1,604,928 : x
  2. Step 2: Convert to fraction form
    1,023,044/1,604,928 = 1,604,928/x
  3. Step 3: Cross multiply
    1,023,044x = 1,604,928 × 1,604,928
  4. Step 4: Simplify right side
    1,023,044x = 2,575,793,885,184
  5. Step 5: Solve for x
    x = 2,575,793,885,184/1,023,044
  6. Step 6: Final answer
    x = 2,517,774.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.