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Finding the Third Proportional to 1,537,507 and 2,247,001

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Solution

The third proportional to 1,537,507 and 2,247,001 is: 3,283,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,507 : 2,247,001 = 2,247,001 : x
  2. Step 2: Convert to fraction form
    1,537,507/2,247,001 = 2,247,001/x
  3. Step 3: Cross multiply
    1,537,507x = 2,247,001 × 2,247,001
  4. Step 4: Simplify right side
    1,537,507x = 5,049,013,494,001
  5. Step 5: Solve for x
    x = 5,049,013,494,001/1,537,507
  6. Step 6: Final answer
    x = 3,283,896.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.