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Finding the Third Proportional to 963,592 and 2,035,712

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Solution

The third proportional to 963,592 and 2,035,712 is: 4,300,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,592 : 2,035,712 = 2,035,712 : x
  2. Step 2: Convert to fraction form
    963,592/2,035,712 = 2,035,712/x
  3. Step 3: Cross multiply
    963,592x = 2,035,712 × 2,035,712
  4. Step 4: Simplify right side
    963,592x = 4,144,123,346,944
  5. Step 5: Solve for x
    x = 4,144,123,346,944/963,592
  6. Step 6: Final answer
    x = 4,300,703.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.