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Finding the Third Proportional to 687,946.50 and 1,459,147.50

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Solution

The third proportional to 687,946.50 and 1,459,147.50 is: 3,094,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,946.50 : 1,459,147.50 = 1,459,147.50 : x
  2. Step 2: Convert to fraction form
    687,946.50/1,459,147.50 = 1,459,147.50/x
  3. Step 3: Cross multiply
    687,946.50x = 1,459,147.50 × 1,459,147.50
  4. Step 4: Simplify right side
    687,946.50x = 2,129,111,426,756.25
  5. Step 5: Solve for x
    x = 2,129,111,426,756.25/687,946.50
  6. Step 6: Final answer
    x = 3,094,879.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.