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Finding the Third Proportional to 802,306 and 1,748,504

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Solution

The third proportional to 802,306 and 1,748,504 is: 3,810,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,306 : 1,748,504 = 1,748,504 : x
  2. Step 2: Convert to fraction form
    802,306/1,748,504 = 1,748,504/x
  3. Step 3: Cross multiply
    802,306x = 1,748,504 × 1,748,504
  4. Step 4: Simplify right side
    802,306x = 3,057,266,238,016
  5. Step 5: Solve for x
    x = 3,057,266,238,016/802,306
  6. Step 6: Final answer
    x = 3,810,598.75

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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.