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Finding the Third Proportional to 910,047.75 and 1,980,151.13

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Solution

The third proportional to 910,047.75 and 1,980,151.13 is: 4,308,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,047.75 : 1,980,151.13 = 1,980,151.13 : x
  2. Step 2: Convert to fraction form
    910,047.75/1,980,151.13 = 1,980,151.13/x
  3. Step 3: Cross multiply
    910,047.75x = 1,980,151.13 × 1,980,151.13
  4. Step 4: Simplify right side
    910,047.75x = 3,920,998,477,838.77
  5. Step 5: Solve for x
    x = 3,920,998,477,838.77/910,047.75
  6. Step 6: Final answer
    x = 4,308,563.45

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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.