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Finding the Third Proportional to 912,776 and 2,035,430

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Solution

The third proportional to 912,776 and 2,035,430 is: 4,538,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,776 : 2,035,430 = 2,035,430 : x
  2. Step 2: Convert to fraction form
    912,776/2,035,430 = 2,035,430/x
  3. Step 3: Cross multiply
    912,776x = 2,035,430 × 2,035,430
  4. Step 4: Simplify right side
    912,776x = 4,142,975,284,900
  5. Step 5: Solve for x
    x = 4,142,975,284,900/912,776
  6. Step 6: Final answer
    x = 4,538,874.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.