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Finding the Third Proportional to 645,418 and 1,402,778

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Solution

The third proportional to 645,418 and 1,402,778 is: 3,048,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,418 : 1,402,778 = 1,402,778 : x
  2. Step 2: Convert to fraction form
    645,418/1,402,778 = 1,402,778/x
  3. Step 3: Cross multiply
    645,418x = 1,402,778 × 1,402,778
  4. Step 4: Simplify right side
    645,418x = 1,967,786,117,284
  5. Step 5: Solve for x
    x = 1,967,786,117,284/645,418
  6. Step 6: Final answer
    x = 3,048,855.34

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