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Finding the Third Proportional to 749,792.64 and 1,097,998.35

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Solution

The third proportional to 749,792.64 and 1,097,998.35 is: 1,607,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,792.64 : 1,097,998.35 = 1,097,998.35 : x
  2. Step 2: Convert to fraction form
    749,792.64/1,097,998.35 = 1,097,998.35/x
  3. Step 3: Cross multiply
    749,792.64x = 1,097,998.35 × 1,097,998.35
  4. Step 4: Simplify right side
    749,792.64x = 1,205,600,371,455.75
  5. Step 5: Solve for x
    x = 1,205,600,371,455.75/749,792.64
  6. Step 6: Final answer
    x = 1,607,911.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.