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Finding the Third Proportional to 740,066 and 1,746,101

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Solution

The third proportional to 740,066 and 1,746,101 is: 4,119,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,066 : 1,746,101 = 1,746,101 : x
  2. Step 2: Convert to fraction form
    740,066/1,746,101 = 1,746,101/x
  3. Step 3: Cross multiply
    740,066x = 1,746,101 × 1,746,101
  4. Step 4: Simplify right side
    740,066x = 3,048,868,702,201
  5. Step 5: Solve for x
    x = 3,048,868,702,201/740,066
  6. Step 6: Final answer
    x = 4,119,725.41

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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.