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Finding the Third Proportional to 621,712 and 1,355,840

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Solution

The third proportional to 621,712 and 1,355,840 is: 2,956,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,712 : 1,355,840 = 1,355,840 : x
  2. Step 2: Convert to fraction form
    621,712/1,355,840 = 1,355,840/x
  3. Step 3: Cross multiply
    621,712x = 1,355,840 × 1,355,840
  4. Step 4: Simplify right side
    621,712x = 1,838,302,105,600
  5. Step 5: Solve for x
    x = 1,838,302,105,600/621,712
  6. Step 6: Final answer
    x = 2,956,838.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.