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Finding the Third Proportional to 389,490 and 851,076

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Solution

The third proportional to 389,490 and 851,076 is: 1,859,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,490 : 851,076 = 851,076 : x
  2. Step 2: Convert to fraction form
    389,490/851,076 = 851,076/x
  3. Step 3: Cross multiply
    389,490x = 851,076 × 851,076
  4. Step 4: Simplify right side
    389,490x = 724,330,357,776
  5. Step 5: Solve for x
    x = 724,330,357,776/389,490
  6. Step 6: Final answer
    x = 1,859,689.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.