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Finding the Third Proportional to 1,430,358 and 2,978,292

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Solution

The third proportional to 1,430,358 and 2,978,292 is: 6,201,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,358 : 2,978,292 = 2,978,292 : x
  2. Step 2: Convert to fraction form
    1,430,358/2,978,292 = 2,978,292/x
  3. Step 3: Cross multiply
    1,430,358x = 2,978,292 × 2,978,292
  4. Step 4: Simplify right side
    1,430,358x = 8,870,223,237,264
  5. Step 5: Solve for x
    x = 8,870,223,237,264/1,430,358
  6. Step 6: Final answer
    x = 6,201,400.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.