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Finding the Third Proportional to 541,683 and 1,153,347.75

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Solution

The third proportional to 541,683 and 1,153,347.75 is: 2,455,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,683 : 1,153,347.75 = 1,153,347.75 : x
  2. Step 2: Convert to fraction form
    541,683/1,153,347.75 = 1,153,347.75/x
  3. Step 3: Cross multiply
    541,683x = 1,153,347.75 × 1,153,347.75
  4. Step 4: Simplify right side
    541,683x = 1,330,211,032,430.06
  5. Step 5: Solve for x
    x = 1,330,211,032,430.06/541,683
  6. Step 6: Final answer
    x = 2,455,700.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.