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Finding the Third Proportional to 630,160 and 941,120

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Solution

The third proportional to 630,160 and 941,120 is: 1,405,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,160 : 941,120 = 941,120 : x
  2. Step 2: Convert to fraction form
    630,160/941,120 = 941,120/x
  3. Step 3: Cross multiply
    630,160x = 941,120 × 941,120
  4. Step 4: Simplify right side
    630,160x = 885,706,854,400
  5. Step 5: Solve for x
    x = 885,706,854,400/630,160
  6. Step 6: Final answer
    x = 1,405,526.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.