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Finding the Third Proportional to 991,020 and 1,463,202

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Solution

The third proportional to 991,020 and 1,463,202 is: 2,160,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,020 : 1,463,202 = 1,463,202 : x
  2. Step 2: Convert to fraction form
    991,020/1,463,202 = 1,463,202/x
  3. Step 3: Cross multiply
    991,020x = 1,463,202 × 1,463,202
  4. Step 4: Simplify right side
    991,020x = 2,140,960,092,804
  5. Step 5: Solve for x
    x = 2,140,960,092,804/991,020
  6. Step 6: Final answer
    x = 2,160,360.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.