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Finding the Third Proportional to 662,297 and 1,430,458

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Solution

The third proportional to 662,297 and 1,430,458 is: 3,089,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,297 : 1,430,458 = 1,430,458 : x
  2. Step 2: Convert to fraction form
    662,297/1,430,458 = 1,430,458/x
  3. Step 3: Cross multiply
    662,297x = 1,430,458 × 1,430,458
  4. Step 4: Simplify right side
    662,297x = 2,046,210,089,764
  5. Step 5: Solve for x
    x = 2,046,210,089,764/662,297
  6. Step 6: Final answer
    x = 3,089,565.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.