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Finding the Third Proportional to 895,634 and 1,342,897.50

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Solution

The third proportional to 895,634 and 1,342,897.50 is: 2,013,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,634 : 1,342,897.50 = 1,342,897.50 : x
  2. Step 2: Convert to fraction form
    895,634/1,342,897.50 = 1,342,897.50/x
  3. Step 3: Cross multiply
    895,634x = 1,342,897.50 × 1,342,897.50
  4. Step 4: Simplify right side
    895,634x = 1,803,373,695,506.25
  5. Step 5: Solve for x
    x = 1,803,373,695,506.25/895,634
  6. Step 6: Final answer
    x = 2,013,516.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.