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Finding the Third Proportional to 565,552 and 1,219,664

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Solution

The third proportional to 565,552 and 1,219,664 is: 2,630,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,552 : 1,219,664 = 1,219,664 : x
  2. Step 2: Convert to fraction form
    565,552/1,219,664 = 1,219,664/x
  3. Step 3: Cross multiply
    565,552x = 1,219,664 × 1,219,664
  4. Step 4: Simplify right side
    565,552x = 1,487,580,272,896
  5. Step 5: Solve for x
    x = 1,487,580,272,896/565,552
  6. Step 6: Final answer
    x = 2,630,315.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.