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Finding the Third Proportional to 758,700 and 1,625,640

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Solution

The third proportional to 758,700 and 1,625,640 is: 3,483,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,700 : 1,625,640 = 1,625,640 : x
  2. Step 2: Convert to fraction form
    758,700/1,625,640 = 1,625,640/x
  3. Step 3: Cross multiply
    758,700x = 1,625,640 × 1,625,640
  4. Step 4: Simplify right side
    758,700x = 2,642,705,409,600
  5. Step 5: Solve for x
    x = 2,642,705,409,600/758,700
  6. Step 6: Final answer
    x = 3,483,202.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.