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Finding the Third Proportional to 560,616 and 1,261,572

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Solution

The third proportional to 560,616 and 1,261,572 is: 2,838,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,616 : 1,261,572 = 1,261,572 : x
  2. Step 2: Convert to fraction form
    560,616/1,261,572 = 1,261,572/x
  3. Step 3: Cross multiply
    560,616x = 1,261,572 × 1,261,572
  4. Step 4: Simplify right side
    560,616x = 1,591,563,911,184
  5. Step 5: Solve for x
    x = 1,591,563,911,184/560,616
  6. Step 6: Final answer
    x = 2,838,955.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.