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Finding the Third Proportional to 870,026 and 1,926,682

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Solution

The third proportional to 870,026 and 1,926,682 is: 4,266,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,026 : 1,926,682 = 1,926,682 : x
  2. Step 2: Convert to fraction form
    870,026/1,926,682 = 1,926,682/x
  3. Step 3: Cross multiply
    870,026x = 1,926,682 × 1,926,682
  4. Step 4: Simplify right side
    870,026x = 3,712,103,529,124
  5. Step 5: Solve for x
    x = 3,712,103,529,124/870,026
  6. Step 6: Final answer
    x = 4,266,658.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.