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Finding the Third Proportional to 477,209 and 1,029,139

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Solution

The third proportional to 477,209 and 1,029,139 is: 2,219,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,209 : 1,029,139 = 1,029,139 : x
  2. Step 2: Convert to fraction form
    477,209/1,029,139 = 1,029,139/x
  3. Step 3: Cross multiply
    477,209x = 1,029,139 × 1,029,139
  4. Step 4: Simplify right side
    477,209x = 1,059,127,081,321
  5. Step 5: Solve for x
    x = 1,059,127,081,321/477,209
  6. Step 6: Final answer
    x = 2,219,419.75

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