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Finding the Third Proportional to 665,046 and 1,424,610

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Solution

The third proportional to 665,046 and 1,424,610 is: 3,051,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,046 : 1,424,610 = 1,424,610 : x
  2. Step 2: Convert to fraction form
    665,046/1,424,610 = 1,424,610/x
  3. Step 3: Cross multiply
    665,046x = 1,424,610 × 1,424,610
  4. Step 4: Simplify right side
    665,046x = 2,029,513,652,100
  5. Step 5: Solve for x
    x = 2,029,513,652,100/665,046
  6. Step 6: Final answer
    x = 3,051,689.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.