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Finding the Third Proportional to 1,428,164 and 2,087,514

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Solution

The third proportional to 1,428,164 and 2,087,514 is: 3,051,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,164 : 2,087,514 = 2,087,514 : x
  2. Step 2: Convert to fraction form
    1,428,164/2,087,514 = 2,087,514/x
  3. Step 3: Cross multiply
    1,428,164x = 2,087,514 × 2,087,514
  4. Step 4: Simplify right side
    1,428,164x = 4,357,714,700,196
  5. Step 5: Solve for x
    x = 4,357,714,700,196/1,428,164
  6. Step 6: Final answer
    x = 3,051,270.51

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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.