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Finding the Third Proportional to 1,369,971 and 2,201,306

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Solution

The third proportional to 1,369,971 and 2,201,306 is: 3,537,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,971 : 2,201,306 = 2,201,306 : x
  2. Step 2: Convert to fraction form
    1,369,971/2,201,306 = 2,201,306/x
  3. Step 3: Cross multiply
    1,369,971x = 2,201,306 × 2,201,306
  4. Step 4: Simplify right side
    1,369,971x = 4,845,748,105,636
  5. Step 5: Solve for x
    x = 4,845,748,105,636/1,369,971
  6. Step 6: Final answer
    x = 3,537,117.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.