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Finding the Third Proportional to 724,762 and 1,705,321

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Solution

The third proportional to 724,762 and 1,705,321 is: 4,012,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,762 : 1,705,321 = 1,705,321 : x
  2. Step 2: Convert to fraction form
    724,762/1,705,321 = 1,705,321/x
  3. Step 3: Cross multiply
    724,762x = 1,705,321 × 1,705,321
  4. Step 4: Simplify right side
    724,762x = 2,908,119,713,041
  5. Step 5: Solve for x
    x = 2,908,119,713,041/724,762
  6. Step 6: Final answer
    x = 4,012,516.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.