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Finding the Third Proportional to 596,040 and 1,292,998

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Solution

The third proportional to 596,040 and 1,292,998 is: 2,804,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,040 : 1,292,998 = 1,292,998 : x
  2. Step 2: Convert to fraction form
    596,040/1,292,998 = 1,292,998/x
  3. Step 3: Cross multiply
    596,040x = 1,292,998 × 1,292,998
  4. Step 4: Simplify right side
    596,040x = 1,671,843,828,004
  5. Step 5: Solve for x
    x = 1,671,843,828,004/596,040
  6. Step 6: Final answer
    x = 2,804,918.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.