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Finding the Third Proportional to 762,030 and 1,679,564.25

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Solution

The third proportional to 762,030 and 1,679,564.25 is: 3,701,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,030 : 1,679,564.25 = 1,679,564.25 : x
  2. Step 2: Convert to fraction form
    762,030/1,679,564.25 = 1,679,564.25/x
  3. Step 3: Cross multiply
    762,030x = 1,679,564.25 × 1,679,564.25
  4. Step 4: Simplify right side
    762,030x = 2,820,936,069,878.06
  5. Step 5: Solve for x
    x = 2,820,936,069,878.06/762,030
  6. Step 6: Final answer
    x = 3,701,870.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.