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Finding the Third Proportional to 702,936 and 1,533,078

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Solution

The third proportional to 702,936 and 1,533,078 is: 3,343,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,936 : 1,533,078 = 1,533,078 : x
  2. Step 2: Convert to fraction form
    702,936/1,533,078 = 1,533,078/x
  3. Step 3: Cross multiply
    702,936x = 1,533,078 × 1,533,078
  4. Step 4: Simplify right side
    702,936x = 2,350,328,154,084
  5. Step 5: Solve for x
    x = 2,350,328,154,084/702,936
  6. Step 6: Final answer
    x = 3,343,587.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.