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Finding the Third Proportional to 1,024,857.56 and 2,191,566.38

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Solution

The third proportional to 1,024,857.56 and 2,191,566.38 is: 4,686,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,857.56 : 2,191,566.38 = 2,191,566.38 : x
  2. Step 2: Convert to fraction form
    1,024,857.56/2,191,566.38 = 2,191,566.38/x
  3. Step 3: Cross multiply
    1,024,857.56x = 2,191,566.38 × 2,191,566.38
  4. Step 4: Simplify right side
    1,024,857.56x = 4,802,963,176,030.64
  5. Step 5: Solve for x
    x = 4,802,963,176,030.64/1,024,857.56
  6. Step 6: Final answer
    x = 4,686,468.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.