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Finding the Third Proportional to 710,340 and 1,072,854

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Solution

The third proportional to 710,340 and 1,072,854 is: 1,620,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,340 : 1,072,854 = 1,072,854 : x
  2. Step 2: Convert to fraction form
    710,340/1,072,854 = 1,072,854/x
  3. Step 3: Cross multiply
    710,340x = 1,072,854 × 1,072,854
  4. Step 4: Simplify right side
    710,340x = 1,151,015,705,316
  5. Step 5: Solve for x
    x = 1,151,015,705,316/710,340
  6. Step 6: Final answer
    x = 1,620,372.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.