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Finding the Third Proportional to 1,096,316 and 2,312,598

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Solution

The third proportional to 1,096,316 and 2,312,598 is: 4,878,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,316 : 2,312,598 = 2,312,598 : x
  2. Step 2: Convert to fraction form
    1,096,316/2,312,598 = 2,312,598/x
  3. Step 3: Cross multiply
    1,096,316x = 2,312,598 × 2,312,598
  4. Step 4: Simplify right side
    1,096,316x = 5,348,109,509,604
  5. Step 5: Solve for x
    x = 5,348,109,509,604/1,096,316
  6. Step 6: Final answer
    x = 4,878,255.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.