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Finding the Third Proportional to 740,822 and 1,106,355

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Solution

The third proportional to 740,822 and 1,106,355 is: 1,652,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,822 : 1,106,355 = 1,106,355 : x
  2. Step 2: Convert to fraction form
    740,822/1,106,355 = 1,106,355/x
  3. Step 3: Cross multiply
    740,822x = 1,106,355 × 1,106,355
  4. Step 4: Simplify right side
    740,822x = 1,224,021,386,025
  5. Step 5: Solve for x
    x = 1,224,021,386,025/740,822
  6. Step 6: Final answer
    x = 1,652,247.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.