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Finding the Third Proportional to 2,130,664 and 4,564,592

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Solution

The third proportional to 2,130,664 and 4,564,592 is: 9,778,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,664 : 4,564,592 = 4,564,592 : x
  2. Step 2: Convert to fraction form
    2,130,664/4,564,592 = 4,564,592/x
  3. Step 3: Cross multiply
    2,130,664x = 4,564,592 × 4,564,592
  4. Step 4: Simplify right side
    2,130,664x = 20,835,500,126,464
  5. Step 5: Solve for x
    x = 20,835,500,126,464/2,130,664
  6. Step 6: Final answer
    x = 9,778,876.50

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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.