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Finding the Third Proportional to 686,754 and 1,487,911.50

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Solution

The third proportional to 686,754 and 1,487,911.50 is: 3,223,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,754 : 1,487,911.50 = 1,487,911.50 : x
  2. Step 2: Convert to fraction form
    686,754/1,487,911.50 = 1,487,911.50/x
  3. Step 3: Cross multiply
    686,754x = 1,487,911.50 × 1,487,911.50
  4. Step 4: Simplify right side
    686,754x = 2,213,880,631,832.25
  5. Step 5: Solve for x
    x = 2,213,880,631,832.25/686,754
  6. Step 6: Final answer
    x = 3,223,688.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.