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Finding the Third Proportional to 1,466,089 and 2,064,538

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Solution

The third proportional to 1,466,089 and 2,064,538 is: 2,907,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,089 : 2,064,538 = 2,064,538 : x
  2. Step 2: Convert to fraction form
    1,466,089/2,064,538 = 2,064,538/x
  3. Step 3: Cross multiply
    1,466,089x = 2,064,538 × 2,064,538
  4. Step 4: Simplify right side
    1,466,089x = 4,262,317,153,444
  5. Step 5: Solve for x
    x = 4,262,317,153,444/1,466,089
  6. Step 6: Final answer
    x = 2,907,270.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.