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Finding the Third Proportional to 503,319,123 and 1,076,589,438

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Solution

The third proportional to 503,319,123 and 1,076,589,438 is: 2,302,803,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,319,123 : 1,076,589,438 = 1,076,589,438 : x
  2. Step 2: Convert to fraction form
    503,319,123/1,076,589,438 = 1,076,589,438/x
  3. Step 3: Cross multiply
    503,319,123x = 1,076,589,438 × 1,076,589,438
  4. Step 4: Simplify right side
    503,319,123x = 1,159,044,818,013,155,840
  5. Step 5: Solve for x
    x = 1,159,044,818,013,155,840/503,319,123
  6. Step 6: Final answer
    x = 2,302,803,062.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.