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Finding the Third Proportional to 996,465 and 1,547,194.50

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Solution

The third proportional to 996,465 and 1,547,194.50 is: 2,402,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,465 : 1,547,194.50 = 1,547,194.50 : x
  2. Step 2: Convert to fraction form
    996,465/1,547,194.50 = 1,547,194.50/x
  3. Step 3: Cross multiply
    996,465x = 1,547,194.50 × 1,547,194.50
  4. Step 4: Simplify right side
    996,465x = 2,393,810,820,830.25
  5. Step 5: Solve for x
    x = 2,393,810,820,830.25/996,465
  6. Step 6: Final answer
    x = 2,402,302.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.