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Finding the Third Proportional to 1,698,210 and 3,711,348

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Solution

The third proportional to 1,698,210 and 3,711,348 is: 8,110,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,210 : 3,711,348 = 3,711,348 : x
  2. Step 2: Convert to fraction form
    1,698,210/3,711,348 = 3,711,348/x
  3. Step 3: Cross multiply
    1,698,210x = 3,711,348 × 3,711,348
  4. Step 4: Simplify right side
    1,698,210x = 13,774,103,977,104
  5. Step 5: Solve for x
    x = 13,774,103,977,104/1,698,210
  6. Step 6: Final answer
    x = 8,110,954.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.