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Finding the Third Proportional to 1,045,515 and 1,537,636.50

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Solution

The third proportional to 1,045,515 and 1,537,636.50 is: 2,261,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,515 : 1,537,636.50 = 1,537,636.50 : x
  2. Step 2: Convert to fraction form
    1,045,515/1,537,636.50 = 1,537,636.50/x
  3. Step 3: Cross multiply
    1,045,515x = 1,537,636.50 × 1,537,636.50
  4. Step 4: Simplify right side
    1,045,515x = 2,364,326,006,132.25
  5. Step 5: Solve for x
    x = 2,364,326,006,132.25/1,045,515
  6. Step 6: Final answer
    x = 2,261,398.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.