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Finding the Third Proportional to 758,358 and 1,145,601

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Solution

The third proportional to 758,358 and 1,145,601 is: 1,730,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,358 : 1,145,601 = 1,145,601 : x
  2. Step 2: Convert to fraction form
    758,358/1,145,601 = 1,145,601/x
  3. Step 3: Cross multiply
    758,358x = 1,145,601 × 1,145,601
  4. Step 4: Simplify right side
    758,358x = 1,312,401,651,201
  5. Step 5: Solve for x
    x = 1,312,401,651,201/758,358
  6. Step 6: Final answer
    x = 1,730,583.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.