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Finding the Third Proportional to 961,838 and 1,500,984

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Solution

The third proportional to 961,838 and 1,500,984 is: 2,342,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,838 : 1,500,984 = 1,500,984 : x
  2. Step 2: Convert to fraction form
    961,838/1,500,984 = 1,500,984/x
  3. Step 3: Cross multiply
    961,838x = 1,500,984 × 1,500,984
  4. Step 4: Simplify right side
    961,838x = 2,252,952,968,256
  5. Step 5: Solve for x
    x = 2,252,952,968,256/961,838
  6. Step 6: Final answer
    x = 2,342,341.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.