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Finding the Third Proportional to 1,929,460 and 2,838,300

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Solution

The third proportional to 1,929,460 and 2,838,300 is: 4,175,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,460 : 2,838,300 = 2,838,300 : x
  2. Step 2: Convert to fraction form
    1,929,460/2,838,300 = 2,838,300/x
  3. Step 3: Cross multiply
    1,929,460x = 2,838,300 × 2,838,300
  4. Step 4: Simplify right side
    1,929,460x = 8,055,946,890,000
  5. Step 5: Solve for x
    x = 8,055,946,890,000/1,929,460
  6. Step 6: Final answer
    x = 4,175,233.95

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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.