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Finding the Third Proportional to 477,213 and 1,038,396

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Solution

The third proportional to 477,213 and 1,038,396 is: 2,259,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,213 : 1,038,396 = 1,038,396 : x
  2. Step 2: Convert to fraction form
    477,213/1,038,396 = 1,038,396/x
  3. Step 3: Cross multiply
    477,213x = 1,038,396 × 1,038,396
  4. Step 4: Simplify right side
    477,213x = 1,078,266,252,816
  5. Step 5: Solve for x
    x = 1,078,266,252,816/477,213
  6. Step 6: Final answer
    x = 2,259,507.29

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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.