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Finding the Third Proportional to 1,038,717 and 1,564,911

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Solution

The third proportional to 1,038,717 and 1,564,911 is: 2,357,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,717 : 1,564,911 = 1,564,911 : x
  2. Step 2: Convert to fraction form
    1,038,717/1,564,911 = 1,564,911/x
  3. Step 3: Cross multiply
    1,038,717x = 1,564,911 × 1,564,911
  4. Step 4: Simplify right side
    1,038,717x = 2,448,946,437,921
  5. Step 5: Solve for x
    x = 2,448,946,437,921/1,038,717
  6. Step 6: Final answer
    x = 2,357,664.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.