Finding the Third Proportional to 833,125,386,273 and 1,274,588,559,726
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Solution
The third proportional to 833,125,386,273 and 1,274,588,559,726 is: 1,949,977,786,479.38
Step by Step Solution
- Step 1: Write the proportion equation
833,125,386,273 : 1,274,588,559,726 = 1,274,588,559,726 : x - Step 2: Convert to fraction form
833,125,386,273/1,274,588,559,726 = 1,274,588,559,726/x - Step 3: Cross multiply
833,125,386,273x = 1,274,588,559,726 × 1,274,588,559,726 - Step 4: Simplify right side
833,125,386,273x = 1,624,575,996,584,398,937,915,392 - Step 5: Solve for x
x = 1,624,575,996,584,398,937,915,392/833,125,386,273 - Step 6: Final answer
x = 1,949,977,786,479.38
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.