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Finding the Third Proportional to 1,482,332 and 3,232,312

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Solution

The third proportional to 1,482,332 and 3,232,312 is: 7,048,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,332 : 3,232,312 = 3,232,312 : x
  2. Step 2: Convert to fraction form
    1,482,332/3,232,312 = 3,232,312/x
  3. Step 3: Cross multiply
    1,482,332x = 3,232,312 × 3,232,312
  4. Step 4: Simplify right side
    1,482,332x = 10,447,840,865,344
  5. Step 5: Solve for x
    x = 10,447,840,865,344/1,482,332
  6. Step 6: Final answer
    x = 7,048,246.19

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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.