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Finding the Third Proportional to 713,464 and 1,046,544

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Solution

The third proportional to 713,464 and 1,046,544 is: 1,535,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,464 : 1,046,544 = 1,046,544 : x
  2. Step 2: Convert to fraction form
    713,464/1,046,544 = 1,046,544/x
  3. Step 3: Cross multiply
    713,464x = 1,046,544 × 1,046,544
  4. Step 4: Simplify right side
    713,464x = 1,095,254,343,936
  5. Step 5: Solve for x
    x = 1,095,254,343,936/713,464
  6. Step 6: Final answer
    x = 1,535,122.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.