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Finding the Third Proportional to 867,402 and 1,353,564

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Solution

The third proportional to 867,402 and 1,353,564 is: 2,112,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,402 : 1,353,564 = 1,353,564 : x
  2. Step 2: Convert to fraction form
    867,402/1,353,564 = 1,353,564/x
  3. Step 3: Cross multiply
    867,402x = 1,353,564 × 1,353,564
  4. Step 4: Simplify right side
    867,402x = 1,832,135,502,096
  5. Step 5: Solve for x
    x = 1,832,135,502,096/867,402
  6. Step 6: Final answer
    x = 2,112,210.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.