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Finding the Third Proportional to 530,985 and 1,146,492

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Solution

The third proportional to 530,985 and 1,146,492 is: 2,475,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,985 : 1,146,492 = 1,146,492 : x
  2. Step 2: Convert to fraction form
    530,985/1,146,492 = 1,146,492/x
  3. Step 3: Cross multiply
    530,985x = 1,146,492 × 1,146,492
  4. Step 4: Simplify right side
    530,985x = 1,314,443,906,064
  5. Step 5: Solve for x
    x = 1,314,443,906,064/530,985
  6. Step 6: Final answer
    x = 2,475,482.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.