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Finding the Third Proportional to 504,833,320 and 754,467,565

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Solution

The third proportional to 504,833,320 and 754,467,565 is: 1,127,543,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,833,320 : 754,467,565 = 754,467,565 : x
  2. Step 2: Convert to fraction form
    504,833,320/754,467,565 = 754,467,565/x
  3. Step 3: Cross multiply
    504,833,320x = 754,467,565 × 754,467,565
  4. Step 4: Simplify right side
    504,833,320x = 569,221,306,637,029,248
  5. Step 5: Solve for x
    x = 569,221,306,637,029,248/504,833,320
  6. Step 6: Final answer
    x = 1,127,543,060.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.