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Finding the Third Proportional to 912,276 and 1,942,650

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Solution

The third proportional to 912,276 and 1,942,650 is: 4,136,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,276 : 1,942,650 = 1,942,650 : x
  2. Step 2: Convert to fraction form
    912,276/1,942,650 = 1,942,650/x
  3. Step 3: Cross multiply
    912,276x = 1,942,650 × 1,942,650
  4. Step 4: Simplify right side
    912,276x = 3,773,889,022,500
  5. Step 5: Solve for x
    x = 3,773,889,022,500/912,276
  6. Step 6: Final answer
    x = 4,136,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.