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Finding the Third Proportional to 966,943 and 2,094,590

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Solution

The third proportional to 966,943 and 2,094,590 is: 4,537,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,943 : 2,094,590 = 2,094,590 : x
  2. Step 2: Convert to fraction form
    966,943/2,094,590 = 2,094,590/x
  3. Step 3: Cross multiply
    966,943x = 2,094,590 × 2,094,590
  4. Step 4: Simplify right side
    966,943x = 4,387,307,268,100
  5. Step 5: Solve for x
    x = 4,387,307,268,100/966,943
  6. Step 6: Final answer
    x = 4,537,296.68

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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.