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Finding the Third Proportional to 1,099,398 and 1,681,792.50

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Solution

The third proportional to 1,099,398 and 1,681,792.50 is: 2,572,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,398 : 1,681,792.50 = 1,681,792.50 : x
  2. Step 2: Convert to fraction form
    1,099,398/1,681,792.50 = 1,681,792.50/x
  3. Step 3: Cross multiply
    1,099,398x = 1,681,792.50 × 1,681,792.50
  4. Step 4: Simplify right side
    1,099,398x = 2,828,426,013,056.25
  5. Step 5: Solve for x
    x = 2,828,426,013,056.25/1,099,398
  6. Step 6: Final answer
    x = 2,572,704.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.