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Finding the Third Proportional to 874,289 and 1,390,202

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Solution

The third proportional to 874,289 and 1,390,202 is: 2,210,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,289 : 1,390,202 = 1,390,202 : x
  2. Step 2: Convert to fraction form
    874,289/1,390,202 = 1,390,202/x
  3. Step 3: Cross multiply
    874,289x = 1,390,202 × 1,390,202
  4. Step 4: Simplify right side
    874,289x = 1,932,661,600,804
  5. Step 5: Solve for x
    x = 1,932,661,600,804/874,289
  6. Step 6: Final answer
    x = 2,210,552.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.