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Finding the Third Proportional to 1,038,736 and 1,564,942

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Solution

The third proportional to 1,038,736 and 1,564,942 is: 2,357,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,736 : 1,564,942 = 1,564,942 : x
  2. Step 2: Convert to fraction form
    1,038,736/1,564,942 = 1,564,942/x
  3. Step 3: Cross multiply
    1,038,736x = 1,564,942 × 1,564,942
  4. Step 4: Simplify right side
    1,038,736x = 2,449,043,463,364
  5. Step 5: Solve for x
    x = 2,449,043,463,364/1,038,736
  6. Step 6: Final answer
    x = 2,357,715.01

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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.