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Finding the Third Proportional to 3,210,616 and 4,709,488

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Solution

The third proportional to 3,210,616 and 4,709,488 is: 6,908,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,616 : 4,709,488 = 4,709,488 : x
  2. Step 2: Convert to fraction form
    3,210,616/4,709,488 = 4,709,488/x
  3. Step 3: Cross multiply
    3,210,616x = 4,709,488 × 4,709,488
  4. Step 4: Simplify right side
    3,210,616x = 22,179,277,222,144
  5. Step 5: Solve for x
    x = 22,179,277,222,144/3,210,616
  6. Step 6: Final answer
    x = 6,908,106.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.