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Finding the Third Proportional to 1,605,768 and 2,348,367

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Solution

The third proportional to 1,605,768 and 2,348,367 is: 3,434,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,768 : 2,348,367 = 2,348,367 : x
  2. Step 2: Convert to fraction form
    1,605,768/2,348,367 = 2,348,367/x
  3. Step 3: Cross multiply
    1,605,768x = 2,348,367 × 2,348,367
  4. Step 4: Simplify right side
    1,605,768x = 5,514,827,566,689
  5. Step 5: Solve for x
    x = 5,514,827,566,689/1,605,768
  6. Step 6: Final answer
    x = 3,434,386.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.