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Finding the Third Proportional to 1,316,467 and 1,966,013

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Solution

The third proportional to 1,316,467 and 1,966,013 is: 2,936,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,467 : 1,966,013 = 1,966,013 : x
  2. Step 2: Convert to fraction form
    1,316,467/1,966,013 = 1,966,013/x
  3. Step 3: Cross multiply
    1,316,467x = 1,966,013 × 1,966,013
  4. Step 4: Simplify right side
    1,316,467x = 3,865,207,116,169
  5. Step 5: Solve for x
    x = 3,865,207,116,169/1,316,467
  6. Step 6: Final answer
    x = 2,936,045.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.