Finding the Third Proportional to 488,516,970 and 1,053,559,284
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Solution
The third proportional to 488,516,970 and 1,053,559,284 is: 2,272,156,819.65
Step by Step Solution
- Step 1: Write the proportion equation
488,516,970 : 1,053,559,284 = 1,053,559,284 : x - Step 2: Convert to fraction form
488,516,970/1,053,559,284 = 1,053,559,284/x - Step 3: Cross multiply
488,516,970x = 1,053,559,284 × 1,053,559,284 - Step 4: Simplify right side
488,516,970x = 1,109,987,164,902,592,640 - Step 5: Solve for x
x = 1,109,987,164,902,592,640/488,516,970 - Step 6: Final answer
x = 2,272,156,819.65
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.