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Finding the Third Proportional to 495,248 and 1,069,312

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Solution

The third proportional to 495,248 and 1,069,312 is: 2,308,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,248 : 1,069,312 = 1,069,312 : x
  2. Step 2: Convert to fraction form
    495,248/1,069,312 = 1,069,312/x
  3. Step 3: Cross multiply
    495,248x = 1,069,312 × 1,069,312
  4. Step 4: Simplify right side
    495,248x = 1,143,428,153,344
  5. Step 5: Solve for x
    x = 1,143,428,153,344/495,248
  6. Step 6: Final answer
    x = 2,308,799.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.