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Finding the Third Proportional to 870,054 and 1,225,251

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Solution

The third proportional to 870,054 and 1,225,251 is: 1,725,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,054 : 1,225,251 = 1,225,251 : x
  2. Step 2: Convert to fraction form
    870,054/1,225,251 = 1,225,251/x
  3. Step 3: Cross multiply
    870,054x = 1,225,251 × 1,225,251
  4. Step 4: Simplify right side
    870,054x = 1,501,240,013,001
  5. Step 5: Solve for x
    x = 1,501,240,013,001/870,054
  6. Step 6: Final answer
    x = 1,725,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.