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Finding the Third Proportional to 542,030.63 and 1,127,071.13

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Solution

The third proportional to 542,030.63 and 1,127,071.13 is: 2,343,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,030.63 : 1,127,071.13 = 1,127,071.13 : x
  2. Step 2: Convert to fraction form
    542,030.63/1,127,071.13 = 1,127,071.13/x
  3. Step 3: Cross multiply
    542,030.63x = 1,127,071.13 × 1,127,071.13
  4. Step 4: Simplify right side
    542,030.63x = 1,270,289,320,808.77
  5. Step 5: Solve for x
    x = 1,270,289,320,808.77/542,030.63
  6. Step 6: Final answer
    x = 2,343,574.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.