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Finding the Third Proportional to 712,040 and 1,068,201

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Solution

The third proportional to 712,040 and 1,068,201 is: 1,602,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,040 : 1,068,201 = 1,068,201 : x
  2. Step 2: Convert to fraction form
    712,040/1,068,201 = 1,068,201/x
  3. Step 3: Cross multiply
    712,040x = 1,068,201 × 1,068,201
  4. Step 4: Simplify right side
    712,040x = 1,141,053,376,401
  5. Step 5: Solve for x
    x = 1,141,053,376,401/712,040
  6. Step 6: Final answer
    x = 1,602,513.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.