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Finding the Third Proportional to 1,929,948 and 2,838,774

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Solution

The third proportional to 1,929,948 and 2,838,774 is: 4,175,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,948 : 2,838,774 = 2,838,774 : x
  2. Step 2: Convert to fraction form
    1,929,948/2,838,774 = 2,838,774/x
  3. Step 3: Cross multiply
    1,929,948x = 2,838,774 × 2,838,774
  4. Step 4: Simplify right side
    1,929,948x = 8,058,637,823,076
  5. Step 5: Solve for x
    x = 8,058,637,823,076/1,929,948
  6. Step 6: Final answer
    x = 4,175,572.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.