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Finding the Third Proportional to 448,370 and 970,002

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Solution

The third proportional to 448,370 and 970,002 is: 2,098,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,370 : 970,002 = 970,002 : x
  2. Step 2: Convert to fraction form
    448,370/970,002 = 970,002/x
  3. Step 3: Cross multiply
    448,370x = 970,002 × 970,002
  4. Step 4: Simplify right side
    448,370x = 940,903,880,004
  5. Step 5: Solve for x
    x = 940,903,880,004/448,370
  6. Step 6: Final answer
    x = 2,098,498.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.