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Finding the Third Proportional to 2,875,509 and 6,154,944

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Solution

The third proportional to 2,875,509 and 6,154,944 is: 13,174,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875,509 : 6,154,944 = 6,154,944 : x
  2. Step 2: Convert to fraction form
    2,875,509/6,154,944 = 6,154,944/x
  3. Step 3: Cross multiply
    2,875,509x = 6,154,944 × 6,154,944
  4. Step 4: Simplify right side
    2,875,509x = 37,883,335,643,136
  5. Step 5: Solve for x
    x = 37,883,335,643,136/2,875,509
  6. Step 6: Final answer
    x = 13,174,479.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.