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Finding the Third Proportional to 691,584 and 1,615,334

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Solution

The third proportional to 691,584 and 1,615,334 is: 3,772,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,584 : 1,615,334 = 1,615,334 : x
  2. Step 2: Convert to fraction form
    691,584/1,615,334 = 1,615,334/x
  3. Step 3: Cross multiply
    691,584x = 1,615,334 × 1,615,334
  4. Step 4: Simplify right side
    691,584x = 2,609,303,931,556
  5. Step 5: Solve for x
    x = 2,609,303,931,556/691,584
  6. Step 6: Final answer
    x = 3,772,938.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.