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Finding the Third Proportional to 1,712,684 and 2,409,706

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Solution

The third proportional to 1,712,684 and 2,409,706 is: 3,390,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,684 : 2,409,706 = 2,409,706 : x
  2. Step 2: Convert to fraction form
    1,712,684/2,409,706 = 2,409,706/x
  3. Step 3: Cross multiply
    1,712,684x = 2,409,706 × 2,409,706
  4. Step 4: Simplify right side
    1,712,684x = 5,806,683,006,436
  5. Step 5: Solve for x
    x = 5,806,683,006,436/1,712,684
  6. Step 6: Final answer
    x = 3,390,399.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.