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Finding the Third Proportional to 734,918 and 1,574,806

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Solution

The third proportional to 734,918 and 1,574,806 is: 3,374,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,918 : 1,574,806 = 1,574,806 : x
  2. Step 2: Convert to fraction form
    734,918/1,574,806 = 1,574,806/x
  3. Step 3: Cross multiply
    734,918x = 1,574,806 × 1,574,806
  4. Step 4: Simplify right side
    734,918x = 2,480,013,937,636
  5. Step 5: Solve for x
    x = 2,480,013,937,636/734,918
  6. Step 6: Final answer
    x = 3,374,545.10

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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.