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Finding the Third Proportional to 740,820 and 1,106,352

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Solution

The third proportional to 740,820 and 1,106,352 is: 1,652,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,820 : 1,106,352 = 1,106,352 : x
  2. Step 2: Convert to fraction form
    740,820/1,106,352 = 1,106,352/x
  3. Step 3: Cross multiply
    740,820x = 1,106,352 × 1,106,352
  4. Step 4: Simplify right side
    740,820x = 1,224,014,747,904
  5. Step 5: Solve for x
    x = 1,224,014,747,904/740,820
  6. Step 6: Final answer
    x = 1,652,243.12

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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.