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Finding the Third Proportional to 931,909 and 2,038,289

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Solution

The third proportional to 931,909 and 2,038,289 is: 4,458,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,909 : 2,038,289 = 2,038,289 : x
  2. Step 2: Convert to fraction form
    931,909/2,038,289 = 2,038,289/x
  3. Step 3: Cross multiply
    931,909x = 2,038,289 × 2,038,289
  4. Step 4: Simplify right side
    931,909x = 4,154,622,047,521
  5. Step 5: Solve for x
    x = 4,154,622,047,521/931,909
  6. Step 6: Final answer
    x = 4,458,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.