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Finding the Third Proportional to 931,646 and 1,411,442

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Solution

The third proportional to 931,646 and 1,411,442 is: 2,138,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,646 : 1,411,442 = 1,411,442 : x
  2. Step 2: Convert to fraction form
    931,646/1,411,442 = 1,411,442/x
  3. Step 3: Cross multiply
    931,646x = 1,411,442 × 1,411,442
  4. Step 4: Simplify right side
    931,646x = 1,992,168,519,364
  5. Step 5: Solve for x
    x = 1,992,168,519,364/931,646
  6. Step 6: Final answer
    x = 2,138,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.