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Finding the Third Proportional to 3,038,724 and 4,635,258.75

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Solution

The third proportional to 3,038,724 and 4,635,258.75 is: 7,070,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038,724 : 4,635,258.75 = 4,635,258.75 : x
  2. Step 2: Convert to fraction form
    3,038,724/4,635,258.75 = 4,635,258.75/x
  3. Step 3: Cross multiply
    3,038,724x = 4,635,258.75 × 4,635,258.75
  4. Step 4: Simplify right side
    3,038,724x = 21,485,623,679,451.56
  5. Step 5: Solve for x
    x = 21,485,623,679,451.56/3,038,724
  6. Step 6: Final answer
    x = 7,070,607.16

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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.