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Finding the Third Proportional to 2,564,034 and 5,604,346

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Solution

The third proportional to 2,564,034 and 5,604,346 is: 12,249,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,034 : 5,604,346 = 5,604,346 : x
  2. Step 2: Convert to fraction form
    2,564,034/5,604,346 = 5,604,346/x
  3. Step 3: Cross multiply
    2,564,034x = 5,604,346 × 5,604,346
  4. Step 4: Simplify right side
    2,564,034x = 31,408,694,087,716
  5. Step 5: Solve for x
    x = 31,408,694,087,716/2,564,034
  6. Step 6: Final answer
    x = 12,249,718.25

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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.