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Finding the Third Proportional to 2,095,407 and 4,574,634

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Solution

The third proportional to 2,095,407 and 4,574,634 is: 9,987,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,407 : 4,574,634 = 4,574,634 : x
  2. Step 2: Convert to fraction form
    2,095,407/4,574,634 = 4,574,634/x
  3. Step 3: Cross multiply
    2,095,407x = 4,574,634 × 4,574,634
  4. Step 4: Simplify right side
    2,095,407x = 20,927,276,233,956
  5. Step 5: Solve for x
    x = 20,927,276,233,956/2,095,407
  6. Step 6: Final answer
    x = 9,987,213.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.