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Finding the Third Proportional to 622,428 and 1,365,386

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Solution

The third proportional to 622,428 and 1,365,386 is: 2,995,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,428 : 1,365,386 = 1,365,386 : x
  2. Step 2: Convert to fraction form
    622,428/1,365,386 = 1,365,386/x
  3. Step 3: Cross multiply
    622,428x = 1,365,386 × 1,365,386
  4. Step 4: Simplify right side
    622,428x = 1,864,278,928,996
  5. Step 5: Solve for x
    x = 1,864,278,928,996/622,428
  6. Step 6: Final answer
    x = 2,995,172.02

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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.