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Finding the Third Proportional to 834,516 and 1,251,202

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Solution

The third proportional to 834,516 and 1,251,202 is: 1,875,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,516 : 1,251,202 = 1,251,202 : x
  2. Step 2: Convert to fraction form
    834,516/1,251,202 = 1,251,202/x
  3. Step 3: Cross multiply
    834,516x = 1,251,202 × 1,251,202
  4. Step 4: Simplify right side
    834,516x = 1,565,506,444,804
  5. Step 5: Solve for x
    x = 1,565,506,444,804/834,516
  6. Step 6: Final answer
    x = 1,875,945.39

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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.