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Finding the Third Proportional to 734,948 and 1,102,426

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Solution

The third proportional to 734,948 and 1,102,426 is: 1,653,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,948 : 1,102,426 = 1,102,426 : x
  2. Step 2: Convert to fraction form
    734,948/1,102,426 = 1,102,426/x
  3. Step 3: Cross multiply
    734,948x = 1,102,426 × 1,102,426
  4. Step 4: Simplify right side
    734,948x = 1,215,343,085,476
  5. Step 5: Solve for x
    x = 1,215,343,085,476/734,948
  6. Step 6: Final answer
    x = 1,653,645.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.