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Finding the Third Proportional to 763,413 and 1,658,370

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Solution

The third proportional to 763,413 and 1,658,370 is: 3,602,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,413 : 1,658,370 = 1,658,370 : x
  2. Step 2: Convert to fraction form
    763,413/1,658,370 = 1,658,370/x
  3. Step 3: Cross multiply
    763,413x = 1,658,370 × 1,658,370
  4. Step 4: Simplify right side
    763,413x = 2,750,191,056,900
  5. Step 5: Solve for x
    x = 2,750,191,056,900/763,413
  6. Step 6: Final answer
    x = 3,602,494.40

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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.