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Finding the Third Proportional to 656,156 and 1,013,313

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Solution

The third proportional to 656,156 and 1,013,313 is: 1,564,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,156 : 1,013,313 = 1,013,313 : x
  2. Step 2: Convert to fraction form
    656,156/1,013,313 = 1,013,313/x
  3. Step 3: Cross multiply
    656,156x = 1,013,313 × 1,013,313
  4. Step 4: Simplify right side
    656,156x = 1,026,803,235,969
  5. Step 5: Solve for x
    x = 1,026,803,235,969/656,156
  6. Step 6: Final answer
    x = 1,564,876.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.