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Finding the Third Proportional to 1,931,103 and 2,837,534

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Solution

The third proportional to 1,931,103 and 2,837,534 is: 4,169,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,103 : 2,837,534 = 2,837,534 : x
  2. Step 2: Convert to fraction form
    1,931,103/2,837,534 = 2,837,534/x
  3. Step 3: Cross multiply
    1,931,103x = 2,837,534 × 2,837,534
  4. Step 4: Simplify right side
    1,931,103x = 8,051,599,201,156
  5. Step 5: Solve for x
    x = 8,051,599,201,156/1,931,103
  6. Step 6: Final answer
    x = 4,169,430.22

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Why These Related Problems?

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