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Finding the Third Proportional to 727,064 and 1,553,088

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Solution

The third proportional to 727,064 and 1,553,088 is: 3,317,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,064 : 1,553,088 = 1,553,088 : x
  2. Step 2: Convert to fraction form
    727,064/1,553,088 = 1,553,088/x
  3. Step 3: Cross multiply
    727,064x = 1,553,088 × 1,553,088
  4. Step 4: Simplify right side
    727,064x = 2,412,082,335,744
  5. Step 5: Solve for x
    x = 2,412,082,335,744/727,064
  6. Step 6: Final answer
    x = 3,317,565.35

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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.