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Finding the Third Proportional to 917,773 and 1,968,403

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Solution

The third proportional to 917,773 and 1,968,403 is: 4,221,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,773 : 1,968,403 = 1,968,403 : x
  2. Step 2: Convert to fraction form
    917,773/1,968,403 = 1,968,403/x
  3. Step 3: Cross multiply
    917,773x = 1,968,403 × 1,968,403
  4. Step 4: Simplify right side
    917,773x = 3,874,610,370,409
  5. Step 5: Solve for x
    x = 3,874,610,370,409/917,773
  6. Step 6: Final answer
    x = 4,221,752.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.