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Finding the Third Proportional to 2,095,566 and 4,583,421

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Solution

The third proportional to 2,095,566 and 4,583,421 is: 10,024,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,566 : 4,583,421 = 4,583,421 : x
  2. Step 2: Convert to fraction form
    2,095,566/4,583,421 = 4,583,421/x
  3. Step 3: Cross multiply
    2,095,566x = 4,583,421 × 4,583,421
  4. Step 4: Simplify right side
    2,095,566x = 21,007,748,063,241
  5. Step 5: Solve for x
    x = 21,007,748,063,241/2,095,566
  6. Step 6: Final answer
    x = 10,024,856.32

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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.