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Finding the Third Proportional to 1,348,454 and 2,897,018

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Solution

The third proportional to 1,348,454 and 2,897,018 is: 6,223,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,454 : 2,897,018 = 2,897,018 : x
  2. Step 2: Convert to fraction form
    1,348,454/2,897,018 = 2,897,018/x
  3. Step 3: Cross multiply
    1,348,454x = 2,897,018 × 2,897,018
  4. Step 4: Simplify right side
    1,348,454x = 8,392,713,292,324
  5. Step 5: Solve for x
    x = 8,392,713,292,324/1,348,454
  6. Step 6: Final answer
    x = 6,223,952.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.