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Finding the Third Proportional to 1,020,288 and 2,224,284

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Solution

The third proportional to 1,020,288 and 2,224,284 is: 4,849,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,288 : 2,224,284 = 2,224,284 : x
  2. Step 2: Convert to fraction form
    1,020,288/2,224,284 = 2,224,284/x
  3. Step 3: Cross multiply
    1,020,288x = 2,224,284 × 2,224,284
  4. Step 4: Simplify right side
    1,020,288x = 4,947,439,312,656
  5. Step 5: Solve for x
    x = 4,947,439,312,656/1,020,288
  6. Step 6: Final answer
    x = 4,849,061.55

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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.