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Finding the Third Proportional to 536,836 and 1,169,572

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Solution

The third proportional to 536,836 and 1,169,572 is: 2,548,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,836 : 1,169,572 = 1,169,572 : x
  2. Step 2: Convert to fraction form
    536,836/1,169,572 = 1,169,572/x
  3. Step 3: Cross multiply
    536,836x = 1,169,572 × 1,169,572
  4. Step 4: Simplify right side
    536,836x = 1,367,898,663,184
  5. Step 5: Solve for x
    x = 1,367,898,663,184/536,836
  6. Step 6: Final answer
    x = 2,548,075.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.