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Finding the Third Proportional to 556,284.94 and 1,142,060.06

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Solution

The third proportional to 556,284.94 and 1,142,060.06 is: 2,344,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,284.94 : 1,142,060.06 = 1,142,060.06 : x
  2. Step 2: Convert to fraction form
    556,284.94/1,142,060.06 = 1,142,060.06/x
  3. Step 3: Cross multiply
    556,284.94x = 1,142,060.06 × 1,142,060.06
  4. Step 4: Simplify right side
    556,284.94x = 1,304,301,186,357.50
  5. Step 5: Solve for x
    x = 1,304,301,186,357.50/556,284.94
  6. Step 6: Final answer
    x = 2,344,663.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.