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Finding the Third Proportional to 2,335,312 and 4,971,944

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Solution

The third proportional to 2,335,312 and 4,971,944 is: 10,585,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335,312 : 4,971,944 = 4,971,944 : x
  2. Step 2: Convert to fraction form
    2,335,312/4,971,944 = 4,971,944/x
  3. Step 3: Cross multiply
    2,335,312x = 4,971,944 × 4,971,944
  4. Step 4: Simplify right side
    2,335,312x = 24,720,227,139,136
  5. Step 5: Solve for x
    x = 24,720,227,139,136/2,335,312
  6. Step 6: Final answer
    x = 10,585,406.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.