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Finding the Third Proportional to 849,142 and 1,363,508

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Solution

The third proportional to 849,142 and 1,363,508 is: 2,189,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,142 : 1,363,508 = 1,363,508 : x
  2. Step 2: Convert to fraction form
    849,142/1,363,508 = 1,363,508/x
  3. Step 3: Cross multiply
    849,142x = 1,363,508 × 1,363,508
  4. Step 4: Simplify right side
    849,142x = 1,859,154,066,064
  5. Step 5: Solve for x
    x = 1,859,154,066,064/849,142
  6. Step 6: Final answer
    x = 2,189,450.13

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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.