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Finding the Third Proportional to 1,002,460 and 1,535,444

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Solution

The third proportional to 1,002,460 and 1,535,444 is: 2,351,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,460 : 1,535,444 = 1,535,444 : x
  2. Step 2: Convert to fraction form
    1,002,460/1,535,444 = 1,535,444/x
  3. Step 3: Cross multiply
    1,002,460x = 1,535,444 × 1,535,444
  4. Step 4: Simplify right side
    1,002,460x = 2,357,588,277,136
  5. Step 5: Solve for x
    x = 2,357,588,277,136/1,002,460
  6. Step 6: Final answer
    x = 2,351,802.84

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