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Finding the Third Proportional to 653,816 and 1,010,280

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Solution

The third proportional to 653,816 and 1,010,280 is: 1,561,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,816 : 1,010,280 = 1,010,280 : x
  2. Step 2: Convert to fraction form
    653,816/1,010,280 = 1,010,280/x
  3. Step 3: Cross multiply
    653,816x = 1,010,280 × 1,010,280
  4. Step 4: Simplify right side
    653,816x = 1,020,665,678,400
  5. Step 5: Solve for x
    x = 1,020,665,678,400/653,816
  6. Step 6: Final answer
    x = 1,561,090.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.