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Finding the Third Proportional to 584,700 and 1,256,430

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Solution

The third proportional to 584,700 and 1,256,430 is: 2,699,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,700 : 1,256,430 = 1,256,430 : x
  2. Step 2: Convert to fraction form
    584,700/1,256,430 = 1,256,430/x
  3. Step 3: Cross multiply
    584,700x = 1,256,430 × 1,256,430
  4. Step 4: Simplify right side
    584,700x = 1,578,616,344,900
  5. Step 5: Solve for x
    x = 1,578,616,344,900/584,700
  6. Step 6: Final answer
    x = 2,699,874.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.