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Finding the Third Proportional to 462,312 and 1,012,752

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Solution

The third proportional to 462,312 and 1,012,752 is: 2,218,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,312 : 1,012,752 = 1,012,752 : x
  2. Step 2: Convert to fraction form
    462,312/1,012,752 = 1,012,752/x
  3. Step 3: Cross multiply
    462,312x = 1,012,752 × 1,012,752
  4. Step 4: Simplify right side
    462,312x = 1,025,666,613,504
  5. Step 5: Solve for x
    x = 1,025,666,613,504/462,312
  6. Step 6: Final answer
    x = 2,218,559.36

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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.