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Finding the Third Proportional to 530,499 and 1,159,953

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Solution

The third proportional to 530,499 and 1,159,953 is: 2,536,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,499 : 1,159,953 = 1,159,953 : x
  2. Step 2: Convert to fraction form
    530,499/1,159,953 = 1,159,953/x
  3. Step 3: Cross multiply
    530,499x = 1,159,953 × 1,159,953
  4. Step 4: Simplify right side
    530,499x = 1,345,490,962,209
  5. Step 5: Solve for x
    x = 1,345,490,962,209/530,499
  6. Step 6: Final answer
    x = 2,536,274.27

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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.