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Finding the Third Proportional to 2,989,089 and 4,758,537

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Solution

The third proportional to 2,989,089 and 4,758,537 is: 7,575,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,089 : 4,758,537 = 4,758,537 : x
  2. Step 2: Convert to fraction form
    2,989,089/4,758,537 = 4,758,537/x
  3. Step 3: Cross multiply
    2,989,089x = 4,758,537 × 4,758,537
  4. Step 4: Simplify right side
    2,989,089x = 22,643,674,380,369
  5. Step 5: Solve for x
    x = 22,643,674,380,369/2,989,089
  6. Step 6: Final answer
    x = 7,575,443.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.