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Finding the Third Proportional to 594,913 and 893,686

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Solution

The third proportional to 594,913 and 893,686 is: 1,342,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,913 : 893,686 = 893,686 : x
  2. Step 2: Convert to fraction form
    594,913/893,686 = 893,686/x
  3. Step 3: Cross multiply
    594,913x = 893,686 × 893,686
  4. Step 4: Simplify right side
    594,913x = 798,674,666,596
  5. Step 5: Solve for x
    x = 798,674,666,596/594,913
  6. Step 6: Final answer
    x = 1,342,506.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.