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Finding the Third Proportional to 909,393 and 1,358,473

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Solution

The third proportional to 909,393 and 1,358,473 is: 2,029,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,393 : 1,358,473 = 1,358,473 : x
  2. Step 2: Convert to fraction form
    909,393/1,358,473 = 1,358,473/x
  3. Step 3: Cross multiply
    909,393x = 1,358,473 × 1,358,473
  4. Step 4: Simplify right side
    909,393x = 1,845,448,891,729
  5. Step 5: Solve for x
    x = 1,845,448,891,729/909,393
  6. Step 6: Final answer
    x = 2,029,319.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.