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Finding the Third Proportional to 834,528 and 1,251,222

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Solution

The third proportional to 834,528 and 1,251,222 is: 1,875,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,528 : 1,251,222 = 1,251,222 : x
  2. Step 2: Convert to fraction form
    834,528/1,251,222 = 1,251,222/x
  3. Step 3: Cross multiply
    834,528x = 1,251,222 × 1,251,222
  4. Step 4: Simplify right side
    834,528x = 1,565,556,493,284
  5. Step 5: Solve for x
    x = 1,565,556,493,284/834,528
  6. Step 6: Final answer
    x = 1,875,978.39

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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.