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Finding the Third Proportional to 1,160,226 and 2,569,284

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Solution

The third proportional to 1,160,226 and 2,569,284 is: 5,689,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,226 : 2,569,284 = 2,569,284 : x
  2. Step 2: Convert to fraction form
    1,160,226/2,569,284 = 2,569,284/x
  3. Step 3: Cross multiply
    1,160,226x = 2,569,284 × 2,569,284
  4. Step 4: Simplify right side
    1,160,226x = 6,601,220,272,656
  5. Step 5: Solve for x
    x = 6,601,220,272,656/1,160,226
  6. Step 6: Final answer
    x = 5,689,598.64

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.