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Finding the Third Proportional to 530,064 and 1,153,440

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Solution

The third proportional to 530,064 and 1,153,440 is: 2,509,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,064 : 1,153,440 = 1,153,440 : x
  2. Step 2: Convert to fraction form
    530,064/1,153,440 = 1,153,440/x
  3. Step 3: Cross multiply
    530,064x = 1,153,440 × 1,153,440
  4. Step 4: Simplify right side
    530,064x = 1,330,423,833,600
  5. Step 5: Solve for x
    x = 1,330,423,833,600/530,064
  6. Step 6: Final answer
    x = 2,509,930.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.