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Finding the Third Proportional to 1,709,539 and 2,707,011

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Solution

The third proportional to 1,709,539 and 2,707,011 is: 4,286,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,539 : 2,707,011 = 2,707,011 : x
  2. Step 2: Convert to fraction form
    1,709,539/2,707,011 = 2,707,011/x
  3. Step 3: Cross multiply
    1,709,539x = 2,707,011 × 2,707,011
  4. Step 4: Simplify right side
    1,709,539x = 7,327,908,554,121
  5. Step 5: Solve for x
    x = 7,327,908,554,121/1,709,539
  6. Step 6: Final answer
    x = 4,286,482.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.