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Finding the Third Proportional to 1,254,348 and 2,670,507

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Solution

The third proportional to 1,254,348 and 2,670,507 is: 5,685,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,348 : 2,670,507 = 2,670,507 : x
  2. Step 2: Convert to fraction form
    1,254,348/2,670,507 = 2,670,507/x
  3. Step 3: Cross multiply
    1,254,348x = 2,670,507 × 2,670,507
  4. Step 4: Simplify right side
    1,254,348x = 7,131,607,637,049
  5. Step 5: Solve for x
    x = 7,131,607,637,049/1,254,348
  6. Step 6: Final answer
    x = 5,685,509.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.