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Finding the Third Proportional to 898,319 and 1,946,178

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Solution

The third proportional to 898,319 and 1,946,178 is: 4,216,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,319 : 1,946,178 = 1,946,178 : x
  2. Step 2: Convert to fraction form
    898,319/1,946,178 = 1,946,178/x
  3. Step 3: Cross multiply
    898,319x = 1,946,178 × 1,946,178
  4. Step 4: Simplify right side
    898,319x = 3,787,608,807,684
  5. Step 5: Solve for x
    x = 3,787,608,807,684/898,319
  6. Step 6: Final answer
    x = 4,216,329.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.