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Finding the Third Proportional to 1,929,972 and 2,838,813

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Solution

The third proportional to 1,929,972 and 2,838,813 is: 4,175,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,972 : 2,838,813 = 2,838,813 : x
  2. Step 2: Convert to fraction form
    1,929,972/2,838,813 = 2,838,813/x
  3. Step 3: Cross multiply
    1,929,972x = 2,838,813 × 2,838,813
  4. Step 4: Simplify right side
    1,929,972x = 8,058,859,248,969
  5. Step 5: Solve for x
    x = 8,058,859,248,969/1,929,972
  6. Step 6: Final answer
    x = 4,175,635.32

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Why These Related Problems?

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