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Finding the Third Proportional to 2,140,402 and 3,139,646

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Solution

The third proportional to 2,140,402 and 3,139,646 is: 4,605,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,402 : 3,139,646 = 3,139,646 : x
  2. Step 2: Convert to fraction form
    2,140,402/3,139,646 = 3,139,646/x
  3. Step 3: Cross multiply
    2,140,402x = 3,139,646 × 3,139,646
  4. Step 4: Simplify right side
    2,140,402x = 9,857,377,005,316
  5. Step 5: Solve for x
    x = 9,857,377,005,316/2,140,402
  6. Step 6: Final answer
    x = 4,605,385.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.