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Finding the Third Proportional to 650,814.75 and 1,401,639.19

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Solution

The third proportional to 650,814.75 and 1,401,639.19 is: 3,018,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,814.75 : 1,401,639.19 = 1,401,639.19 : x
  2. Step 2: Convert to fraction form
    650,814.75/1,401,639.19 = 1,401,639.19/x
  3. Step 3: Cross multiply
    650,814.75x = 1,401,639.19 × 1,401,639.19
  4. Step 4: Simplify right side
    650,814.75x = 1,964,592,411,935.66
  5. Step 5: Solve for x
    x = 1,964,592,411,935.66/650,814.75
  6. Step 6: Final answer
    x = 3,018,666.08

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Why These Related Problems?

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