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Finding the Third Proportional to 480,681 and 1,112,746.50

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Solution

The third proportional to 480,681 and 1,112,746.50 is: 2,575,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,681 : 1,112,746.50 = 1,112,746.50 : x
  2. Step 2: Convert to fraction form
    480,681/1,112,746.50 = 1,112,746.50/x
  3. Step 3: Cross multiply
    480,681x = 1,112,746.50 × 1,112,746.50
  4. Step 4: Simplify right side
    480,681x = 1,238,204,773,262.25
  5. Step 5: Solve for x
    x = 1,238,204,773,262.25/480,681
  6. Step 6: Final answer
    x = 2,575,938.66

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.