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Finding the Third Proportional to 2,130,684 and 4,577,594

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Solution

The third proportional to 2,130,684 and 4,577,594 is: 9,834,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,684 : 4,577,594 = 4,577,594 : x
  2. Step 2: Convert to fraction form
    2,130,684/4,577,594 = 4,577,594/x
  3. Step 3: Cross multiply
    2,130,684x = 4,577,594 × 4,577,594
  4. Step 4: Simplify right side
    2,130,684x = 20,954,366,828,836
  5. Step 5: Solve for x
    x = 20,954,366,828,836/2,130,684
  6. Step 6: Final answer
    x = 9,834,572.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.