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Finding the Third Proportional to 700,792 and 1,537,232

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Solution

The third proportional to 700,792 and 1,537,232 is: 3,372,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,792 : 1,537,232 = 1,537,232 : x
  2. Step 2: Convert to fraction form
    700,792/1,537,232 = 1,537,232/x
  3. Step 3: Cross multiply
    700,792x = 1,537,232 × 1,537,232
  4. Step 4: Simplify right side
    700,792x = 2,363,082,221,824
  5. Step 5: Solve for x
    x = 2,363,082,221,824/700,792
  6. Step 6: Final answer
    x = 3,372,016.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.