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Finding the Third Proportional to 535,698 and 1,144,047.94

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Solution

The third proportional to 535,698 and 1,144,047.94 is: 2,443,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,698 : 1,144,047.94 = 1,144,047.94 : x
  2. Step 2: Convert to fraction form
    535,698/1,144,047.94 = 1,144,047.94/x
  3. Step 3: Cross multiply
    535,698x = 1,144,047.94 × 1,144,047.94
  4. Step 4: Simplify right side
    535,698x = 1,308,845,683,298.00
  5. Step 5: Solve for x
    x = 1,308,845,683,298.00/535,698
  6. Step 6: Final answer
    x = 2,443,252.88

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