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Finding the Third Proportional to 713,460 and 1,544,532

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Solution

The third proportional to 713,460 and 1,544,532 is: 3,343,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,460 : 1,544,532 = 1,544,532 : x
  2. Step 2: Convert to fraction form
    713,460/1,544,532 = 1,544,532/x
  3. Step 3: Cross multiply
    713,460x = 1,544,532 × 1,544,532
  4. Step 4: Simplify right side
    713,460x = 2,385,579,099,024
  5. Step 5: Solve for x
    x = 2,385,579,099,024/713,460
  6. Step 6: Final answer
    x = 3,343,676.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.