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Finding the Third Proportional to 975,833 and 2,114,566

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Solution

The third proportional to 975,833 and 2,114,566 is: 4,582,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,833 : 2,114,566 = 2,114,566 : x
  2. Step 2: Convert to fraction form
    975,833/2,114,566 = 2,114,566/x
  3. Step 3: Cross multiply
    975,833x = 2,114,566 × 2,114,566
  4. Step 4: Simplify right side
    975,833x = 4,471,389,368,356
  5. Step 5: Solve for x
    x = 4,471,389,368,356/975,833
  6. Step 6: Final answer
    x = 4,582,125.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.