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Finding the Third Proportional to 702,326 and 1,657,265

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Solution

The third proportional to 702,326 and 1,657,265 is: 3,910,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,326 : 1,657,265 = 1,657,265 : x
  2. Step 2: Convert to fraction form
    702,326/1,657,265 = 1,657,265/x
  3. Step 3: Cross multiply
    702,326x = 1,657,265 × 1,657,265
  4. Step 4: Simplify right side
    702,326x = 2,746,527,280,225
  5. Step 5: Solve for x
    x = 2,746,527,280,225/702,326
  6. Step 6: Final answer
    x = 3,910,615.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.