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Finding the Third Proportional to 804,598 and 1,702,508

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Solution

The third proportional to 804,598 and 1,702,508 is: 3,602,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,598 : 1,702,508 = 1,702,508 : x
  2. Step 2: Convert to fraction form
    804,598/1,702,508 = 1,702,508/x
  3. Step 3: Cross multiply
    804,598x = 1,702,508 × 1,702,508
  4. Step 4: Simplify right side
    804,598x = 2,898,533,490,064
  5. Step 5: Solve for x
    x = 2,898,533,490,064/804,598
  6. Step 6: Final answer
    x = 3,602,461.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.