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Finding the Third Proportional to 468,280 and 1,011,440

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Solution

The third proportional to 468,280 and 1,011,440 is: 2,184,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,280 : 1,011,440 = 1,011,440 : x
  2. Step 2: Convert to fraction form
    468,280/1,011,440 = 1,011,440/x
  3. Step 3: Cross multiply
    468,280x = 1,011,440 × 1,011,440
  4. Step 4: Simplify right side
    468,280x = 1,023,010,873,600
  5. Step 5: Solve for x
    x = 1,023,010,873,600/468,280
  6. Step 6: Final answer
    x = 2,184,613.64

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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.