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Finding the Third Proportional to 2,276,547.75 and 4,875,859.13

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Solution

The third proportional to 2,276,547.75 and 4,875,859.13 is: 10,443,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,547.75 : 4,875,859.13 = 4,875,859.13 : x
  2. Step 2: Convert to fraction form
    2,276,547.75/4,875,859.13 = 4,875,859.13/x
  3. Step 3: Cross multiply
    2,276,547.75x = 4,875,859.13 × 4,875,859.13
  4. Step 4: Simplify right side
    2,276,547.75x = 23,774,002,206,845.77
  5. Step 5: Solve for x
    x = 23,774,002,206,845.77/2,276,547.75
  6. Step 6: Final answer
    x = 10,443,006.17

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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.