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Finding the Third Proportional to 803,038 and 1,174,344

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Solution

The third proportional to 803,038 and 1,174,344 is: 1,717,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,038 : 1,174,344 = 1,174,344 : x
  2. Step 2: Convert to fraction form
    803,038/1,174,344 = 1,174,344/x
  3. Step 3: Cross multiply
    803,038x = 1,174,344 × 1,174,344
  4. Step 4: Simplify right side
    803,038x = 1,379,083,830,336
  5. Step 5: Solve for x
    x = 1,379,083,830,336/803,038
  6. Step 6: Final answer
    x = 1,717,333.22

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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.