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Finding the Third Proportional to 740,023 and 1,598,071

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Solution

The third proportional to 740,023 and 1,598,071 is: 3,451,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,023 : 1,598,071 = 1,598,071 : x
  2. Step 2: Convert to fraction form
    740,023/1,598,071 = 1,598,071/x
  3. Step 3: Cross multiply
    740,023x = 1,598,071 × 1,598,071
  4. Step 4: Simplify right side
    740,023x = 2,553,830,921,041
  5. Step 5: Solve for x
    x = 2,553,830,921,041/740,023
  6. Step 6: Final answer
    x = 3,451,015.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.