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Finding the Third Proportional to 463,416 and 1,011,984

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Solution

The third proportional to 463,416 and 1,011,984 is: 2,209,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,416 : 1,011,984 = 1,011,984 : x
  2. Step 2: Convert to fraction form
    463,416/1,011,984 = 1,011,984/x
  3. Step 3: Cross multiply
    463,416x = 1,011,984 × 1,011,984
  4. Step 4: Simplify right side
    463,416x = 1,024,111,616,256
  5. Step 5: Solve for x
    x = 1,024,111,616,256/463,416
  6. Step 6: Final answer
    x = 2,209,918.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.