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Finding the Third Proportional to 533,984 and 1,166,437

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Solution

The third proportional to 533,984 and 1,166,437 is: 2,547,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,984 : 1,166,437 = 1,166,437 : x
  2. Step 2: Convert to fraction form
    533,984/1,166,437 = 1,166,437/x
  3. Step 3: Cross multiply
    533,984x = 1,166,437 × 1,166,437
  4. Step 4: Simplify right side
    533,984x = 1,360,575,274,969
  5. Step 5: Solve for x
    x = 1,360,575,274,969/533,984
  6. Step 6: Final answer
    x = 2,547,970.12

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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.