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Finding the Third Proportional to 830,547 and 1,304,847

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Solution

The third proportional to 830,547 and 1,304,847 is: 2,050,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,547 : 1,304,847 = 1,304,847 : x
  2. Step 2: Convert to fraction form
    830,547/1,304,847 = 1,304,847/x
  3. Step 3: Cross multiply
    830,547x = 1,304,847 × 1,304,847
  4. Step 4: Simplify right side
    830,547x = 1,702,625,693,409
  5. Step 5: Solve for x
    x = 1,702,625,693,409/830,547
  6. Step 6: Final answer
    x = 2,050,005.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.