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Finding the Third Proportional to 472,938 and 1,037,853

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Solution

The third proportional to 472,938 and 1,037,853 is: 2,277,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,938 : 1,037,853 = 1,037,853 : x
  2. Step 2: Convert to fraction form
    472,938/1,037,853 = 1,037,853/x
  3. Step 3: Cross multiply
    472,938x = 1,037,853 × 1,037,853
  4. Step 4: Simplify right side
    472,938x = 1,077,138,849,609
  5. Step 5: Solve for x
    x = 1,077,138,849,609/472,938
  6. Step 6: Final answer
    x = 2,277,547.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.