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Finding the Third Proportional to 763,402 and 1,658,348

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Solution

The third proportional to 763,402 and 1,658,348 is: 3,602,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,402 : 1,658,348 = 1,658,348 : x
  2. Step 2: Convert to fraction form
    763,402/1,658,348 = 1,658,348/x
  3. Step 3: Cross multiply
    763,402x = 1,658,348 × 1,658,348
  4. Step 4: Simplify right side
    763,402x = 2,750,118,089,104
  5. Step 5: Solve for x
    x = 2,750,118,089,104/763,402
  6. Step 6: Final answer
    x = 3,602,450.73

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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.