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Finding the Third Proportional to 826,658 and 1,170,043

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Solution

The third proportional to 826,658 and 1,170,043 is: 1,656,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,658 : 1,170,043 = 1,170,043 : x
  2. Step 2: Convert to fraction form
    826,658/1,170,043 = 1,170,043/x
  3. Step 3: Cross multiply
    826,658x = 1,170,043 × 1,170,043
  4. Step 4: Simplify right side
    826,658x = 1,369,000,621,849
  5. Step 5: Solve for x
    x = 1,369,000,621,849/826,658
  6. Step 6: Final answer
    x = 1,656,066.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.