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Finding the Third Proportional to 684,502 and 1,064,088

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Solution

The third proportional to 684,502 and 1,064,088 is: 1,654,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,502 : 1,064,088 = 1,064,088 : x
  2. Step 2: Convert to fraction form
    684,502/1,064,088 = 1,064,088/x
  3. Step 3: Cross multiply
    684,502x = 1,064,088 × 1,064,088
  4. Step 4: Simplify right side
    684,502x = 1,132,283,271,744
  5. Step 5: Solve for x
    x = 1,132,283,271,744/684,502
  6. Step 6: Final answer
    x = 1,654,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.