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Finding the Third Proportional to 1,698,784 and 3,712,604

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Solution

The third proportional to 1,698,784 and 3,712,604 is: 8,113,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,784 : 3,712,604 = 3,712,604 : x
  2. Step 2: Convert to fraction form
    1,698,784/3,712,604 = 3,712,604/x
  3. Step 3: Cross multiply
    1,698,784x = 3,712,604 × 3,712,604
  4. Step 4: Simplify right side
    1,698,784x = 13,783,428,460,816
  5. Step 5: Solve for x
    x = 13,783,428,460,816/1,698,784
  6. Step 6: Final answer
    x = 8,113,702.78

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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.