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Finding the Third Proportional to 732,303 and 1,586,403

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Solution

The third proportional to 732,303 and 1,586,403 is: 3,436,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,303 : 1,586,403 = 1,586,403 : x
  2. Step 2: Convert to fraction form
    732,303/1,586,403 = 1,586,403/x
  3. Step 3: Cross multiply
    732,303x = 1,586,403 × 1,586,403
  4. Step 4: Simplify right side
    732,303x = 2,516,674,478,409
  5. Step 5: Solve for x
    x = 2,516,674,478,409/732,303
  6. Step 6: Final answer
    x = 3,436,657.34

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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.