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Finding the Third Proportional to 731,202 and 1,129,994

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Solution

The third proportional to 731,202 and 1,129,994 is: 1,746,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,202 : 1,129,994 = 1,129,994 : x
  2. Step 2: Convert to fraction form
    731,202/1,129,994 = 1,129,994/x
  3. Step 3: Cross multiply
    731,202x = 1,129,994 × 1,129,994
  4. Step 4: Simplify right side
    731,202x = 1,276,886,440,036
  5. Step 5: Solve for x
    x = 1,276,886,440,036/731,202
  6. Step 6: Final answer
    x = 1,746,284.12

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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.