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Finding the Third Proportional to 847,128 and 1,817,088

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Solution

The third proportional to 847,128 and 1,817,088 is: 3,897,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,128 : 1,817,088 = 1,817,088 : x
  2. Step 2: Convert to fraction form
    847,128/1,817,088 = 1,817,088/x
  3. Step 3: Cross multiply
    847,128x = 1,817,088 × 1,817,088
  4. Step 4: Simplify right side
    847,128x = 3,301,808,799,744
  5. Step 5: Solve for x
    x = 3,301,808,799,744/847,128
  6. Step 6: Final answer
    x = 3,897,650.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.