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Finding the Third Proportional to 663,648 and 1,020,636

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Solution

The third proportional to 663,648 and 1,020,636 is: 1,569,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,648 : 1,020,636 = 1,020,636 : x
  2. Step 2: Convert to fraction form
    663,648/1,020,636 = 1,020,636/x
  3. Step 3: Cross multiply
    663,648x = 1,020,636 × 1,020,636
  4. Step 4: Simplify right side
    663,648x = 1,041,697,844,496
  5. Step 5: Solve for x
    x = 1,041,697,844,496/663,648
  6. Step 6: Final answer
    x = 1,569,654.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.