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Finding the Third Proportional to 1,564,947 and 3,428,784

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Solution

The third proportional to 1,564,947 and 3,428,784 is: 7,512,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,947 : 3,428,784 = 3,428,784 : x
  2. Step 2: Convert to fraction form
    1,564,947/3,428,784 = 3,428,784/x
  3. Step 3: Cross multiply
    1,564,947x = 3,428,784 × 3,428,784
  4. Step 4: Simplify right side
    1,564,947x = 11,756,559,718,656
  5. Step 5: Solve for x
    x = 11,756,559,718,656/1,564,947
  6. Step 6: Final answer
    x = 7,512,433.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.