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Finding the Third Proportional to 653,868 and 1,411,011

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Solution

The third proportional to 653,868 and 1,411,011 is: 3,044,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,868 : 1,411,011 = 1,411,011 : x
  2. Step 2: Convert to fraction form
    653,868/1,411,011 = 1,411,011/x
  3. Step 3: Cross multiply
    653,868x = 1,411,011 × 1,411,011
  4. Step 4: Simplify right side
    653,868x = 1,990,952,042,121
  5. Step 5: Solve for x
    x = 1,990,952,042,121/653,868
  6. Step 6: Final answer
    x = 3,044,883.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.