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Finding the Third Proportional to 514,335 and 1,128,342

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Solution

The third proportional to 514,335 and 1,128,342 is: 2,475,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,335 : 1,128,342 = 1,128,342 : x
  2. Step 2: Convert to fraction form
    514,335/1,128,342 = 1,128,342/x
  3. Step 3: Cross multiply
    514,335x = 1,128,342 × 1,128,342
  4. Step 4: Simplify right side
    514,335x = 1,273,155,668,964
  5. Step 5: Solve for x
    x = 1,273,155,668,964/514,335
  6. Step 6: Final answer
    x = 2,475,343.25

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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.