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Finding the Third Proportional to 565,056 and 1,223,424

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Solution

The third proportional to 565,056 and 1,223,424 is: 2,648,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,056 : 1,223,424 = 1,223,424 : x
  2. Step 2: Convert to fraction form
    565,056/1,223,424 = 1,223,424/x
  3. Step 3: Cross multiply
    565,056x = 1,223,424 × 1,223,424
  4. Step 4: Simplify right side
    565,056x = 1,496,766,283,776
  5. Step 5: Solve for x
    x = 1,496,766,283,776/565,056
  6. Step 6: Final answer
    x = 2,648,881.32

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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.