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Finding the Third Proportional to 929,029 and 1,376,274

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Solution

The third proportional to 929,029 and 1,376,274 is: 2,038,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,029 : 1,376,274 = 1,376,274 : x
  2. Step 2: Convert to fraction form
    929,029/1,376,274 = 1,376,274/x
  3. Step 3: Cross multiply
    929,029x = 1,376,274 × 1,376,274
  4. Step 4: Simplify right side
    929,029x = 1,894,130,123,076
  5. Step 5: Solve for x
    x = 1,894,130,123,076/929,029
  6. Step 6: Final answer
    x = 2,038,827.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.