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Finding the Third Proportional to 719,226 and 1,036,023

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Solution

The third proportional to 719,226 and 1,036,023 is: 1,492,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,226 : 1,036,023 = 1,036,023 : x
  2. Step 2: Convert to fraction form
    719,226/1,036,023 = 1,036,023/x
  3. Step 3: Cross multiply
    719,226x = 1,036,023 × 1,036,023
  4. Step 4: Simplify right side
    719,226x = 1,073,343,656,529
  5. Step 5: Solve for x
    x = 1,073,343,656,529/719,226
  6. Step 6: Final answer
    x = 1,492,359.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.