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Finding the Third Proportional to 1,730,346 and 2,314,595

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Solution

The third proportional to 1,730,346 and 2,314,595 is: 3,096,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,346 : 2,314,595 = 2,314,595 : x
  2. Step 2: Convert to fraction form
    1,730,346/2,314,595 = 2,314,595/x
  3. Step 3: Cross multiply
    1,730,346x = 2,314,595 × 2,314,595
  4. Step 4: Simplify right side
    1,730,346x = 5,357,350,014,025
  5. Step 5: Solve for x
    x = 5,357,350,014,025/1,730,346
  6. Step 6: Final answer
    x = 3,096,114.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.