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Finding the Third Proportional to 1,001,398 and 1,537,089

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Solution

The third proportional to 1,001,398 and 1,537,089 is: 2,359,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,398 : 1,537,089 = 1,537,089 : x
  2. Step 2: Convert to fraction form
    1,001,398/1,537,089 = 1,537,089/x
  3. Step 3: Cross multiply
    1,001,398x = 1,537,089 × 1,537,089
  4. Step 4: Simplify right side
    1,001,398x = 2,362,642,593,921
  5. Step 5: Solve for x
    x = 2,362,642,593,921/1,001,398
  6. Step 6: Final answer
    x = 2,359,344.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.