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Finding the Third Proportional to 834,470 and 1,255,594

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Solution

The third proportional to 834,470 and 1,255,594 is: 1,889,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,470 : 1,255,594 = 1,255,594 : x
  2. Step 2: Convert to fraction form
    834,470/1,255,594 = 1,255,594/x
  3. Step 3: Cross multiply
    834,470x = 1,255,594 × 1,255,594
  4. Step 4: Simplify right side
    834,470x = 1,576,516,292,836
  5. Step 5: Solve for x
    x = 1,576,516,292,836/834,470
  6. Step 6: Final answer
    x = 1,889,242.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.