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Finding the Third Proportional to 594,646 and 847,681

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Solution

The third proportional to 594,646 and 847,681 is: 1,208,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,646 : 847,681 = 847,681 : x
  2. Step 2: Convert to fraction form
    594,646/847,681 = 847,681/x
  3. Step 3: Cross multiply
    594,646x = 847,681 × 847,681
  4. Step 4: Simplify right side
    594,646x = 718,563,077,761
  5. Step 5: Solve for x
    x = 718,563,077,761/594,646
  6. Step 6: Final answer
    x = 1,208,387.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.