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Finding the Third Proportional to 514,065 and 1,111,362

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Solution

The third proportional to 514,065 and 1,111,362 is: 2,402,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,065 : 1,111,362 = 1,111,362 : x
  2. Step 2: Convert to fraction form
    514,065/1,111,362 = 1,111,362/x
  3. Step 3: Cross multiply
    514,065x = 1,111,362 × 1,111,362
  4. Step 4: Simplify right side
    514,065x = 1,235,125,495,044
  5. Step 5: Solve for x
    x = 1,235,125,495,044/514,065
  6. Step 6: Final answer
    x = 2,402,664.05

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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.