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Finding the Third Proportional to 1,506,402 and 2,107,016

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Solution

The third proportional to 1,506,402 and 2,107,016 is: 2,947,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,402 : 2,107,016 = 2,107,016 : x
  2. Step 2: Convert to fraction form
    1,506,402/2,107,016 = 2,107,016/x
  3. Step 3: Cross multiply
    1,506,402x = 2,107,016 × 2,107,016
  4. Step 4: Simplify right side
    1,506,402x = 4,439,516,424,256
  5. Step 5: Solve for x
    x = 4,439,516,424,256/1,506,402
  6. Step 6: Final answer
    x = 2,947,099.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.