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Finding the Third Proportional to 2,102,064 and 4,596,720

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Solution

The third proportional to 2,102,064 and 4,596,720 is: 10,051,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,064 : 4,596,720 = 4,596,720 : x
  2. Step 2: Convert to fraction form
    2,102,064/4,596,720 = 4,596,720/x
  3. Step 3: Cross multiply
    2,102,064x = 4,596,720 × 4,596,720
  4. Step 4: Simplify right side
    2,102,064x = 21,129,834,758,400
  5. Step 5: Solve for x
    x = 21,129,834,758,400/2,102,064
  6. Step 6: Final answer
    x = 10,051,946.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.