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Finding the Third Proportional to 949,830 and 1,938,417

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Solution

The third proportional to 949,830 and 1,938,417 is: 3,955,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,830 : 1,938,417 = 1,938,417 : x
  2. Step 2: Convert to fraction form
    949,830/1,938,417 = 1,938,417/x
  3. Step 3: Cross multiply
    949,830x = 1,938,417 × 1,938,417
  4. Step 4: Simplify right side
    949,830x = 3,757,460,465,889
  5. Step 5: Solve for x
    x = 3,757,460,465,889/949,830
  6. Step 6: Final answer
    x = 3,955,929.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.