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Finding the Third Proportional to 802,848 and 1,182,094.50

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Solution

The third proportional to 802,848 and 1,182,094.50 is: 1,740,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,848 : 1,182,094.50 = 1,182,094.50 : x
  2. Step 2: Convert to fraction form
    802,848/1,182,094.50 = 1,182,094.50/x
  3. Step 3: Cross multiply
    802,848x = 1,182,094.50 × 1,182,094.50
  4. Step 4: Simplify right side
    802,848x = 1,397,347,406,930.25
  5. Step 5: Solve for x
    x = 1,397,347,406,930.25/802,848
  6. Step 6: Final answer
    x = 1,740,488.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.