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Finding the Third Proportional to 1,020,359 and 2,224,435

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Solution

The third proportional to 1,020,359 and 2,224,435 is: 4,849,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,359 : 2,224,435 = 2,224,435 : x
  2. Step 2: Convert to fraction form
    1,020,359/2,224,435 = 2,224,435/x
  3. Step 3: Cross multiply
    1,020,359x = 2,224,435 × 2,224,435
  4. Step 4: Simplify right side
    1,020,359x = 4,948,111,069,225
  5. Step 5: Solve for x
    x = 4,948,111,069,225/1,020,359
  6. Step 6: Final answer
    x = 4,849,382.49

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