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Finding the Third Proportional to 713,748 and 1,043,820

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Solution

The third proportional to 713,748 and 1,043,820 is: 1,526,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,748 : 1,043,820 = 1,043,820 : x
  2. Step 2: Convert to fraction form
    713,748/1,043,820 = 1,043,820/x
  3. Step 3: Cross multiply
    713,748x = 1,043,820 × 1,043,820
  4. Step 4: Simplify right side
    713,748x = 1,089,560,192,400
  5. Step 5: Solve for x
    x = 1,089,560,192,400/713,748
  6. Step 6: Final answer
    x = 1,526,533.44

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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.