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Finding the Third Proportional to 565,448 and 1,237,840

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Solution

The third proportional to 565,448 and 1,237,840 is: 2,709,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,448 : 1,237,840 = 1,237,840 : x
  2. Step 2: Convert to fraction form
    565,448/1,237,840 = 1,237,840/x
  3. Step 3: Cross multiply
    565,448x = 1,237,840 × 1,237,840
  4. Step 4: Simplify right side
    565,448x = 1,532,247,865,600
  5. Step 5: Solve for x
    x = 1,532,247,865,600/565,448
  6. Step 6: Final answer
    x = 2,709,794.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.