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Finding the Third Proportional to 656,814 and 1,411,854

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Solution

The third proportional to 656,814 and 1,411,854 is: 3,034,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,814 : 1,411,854 = 1,411,854 : x
  2. Step 2: Convert to fraction form
    656,814/1,411,854 = 1,411,854/x
  3. Step 3: Cross multiply
    656,814x = 1,411,854 × 1,411,854
  4. Step 4: Simplify right side
    656,814x = 1,993,331,717,316
  5. Step 5: Solve for x
    x = 1,993,331,717,316/656,814
  6. Step 6: Final answer
    x = 3,034,849.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.